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quantum_qudit takes d = 4 (roots ±1, ±i, exact) and d = 6 (coordinates ±1/2, ±√3/2, as d = 3's) beside 2 and 3: the dimensions whose roots of unity have degree at most two. Every other dimension is refused. Each irrational constant (√3/2 and the Fourier entries 1/√2, 1/√3, 1/(2√3), 1/√6, 1/(2√6), √2/4) is the nearest multiple of 2^-30, found in whole numbers and proved nearest by a test; the module had called a floor square root "exact", and 1/√3 was a floor of a floor, 1.13 units low. The Fourier gate's entries are ω^m/√d applied with circuit2's arithmetic, so d = 2 is circuit2's H on any state and F_4 is the two-qubit QFT on every basis state; F_6 is F_2 ⊗ F_3 under the CRT relabelling. Each gate's rounding and constants are counted (gate_bound), carried to a 2-norm bound on the state (program_bound) and a total-variation bound on the outcomes (outcomes_bound); the worst measured is 0.79 of the bound. engine::qudit is the job: a program of shift, clock, fourier, csum and phase gates, measured with a seed, sealed in the receipt every job takes (wai.quantum.qudit/1; refusals J090, J091, J092; at most 2^24 amplitudes and 2^32 work, measured at 9.6 s natively and 49.9 s on wasm32). The command line runs it (wai-quantum qudit run, check, example). extensions/quantum-sim.md §9 states all of it; quantum-conformance/qudit/ holds the constants, 29 vectors and 35 refusals, the same bytes on arm64 macOS, x86_64 Linux and wasm32-wasip2 (wai-quantum-qudit.yml), with a second implementation in Python. Co-Authored-By: Claude Opus 5.5 <[email protected]>
6733 lines
148 KiB
JSON
6733 lines
148 KiB
JSON
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"format": "wai.qudit-conformance/1",
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"protocol": "wai.quantum.qudit/1",
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"about": "Qudit jobs (extensions/quantum-sim.md section 9): each dimension's constants at 2^-30, each vector's request with the result every conforming host gives (the members of a run's answer but engine, schema, energy and receipt), and requests a conforming host refuses, each with its code. Written by wai-quantum's tests/qudit_conformance.rs; results_blake3 is BLAKE3 over each vector's request and result as compact JSON, each followed by a newline.",
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"note": "the amplitudes are the same integers on every host; the state is within bound (bound_units at 2^-30) of the ideal state in the 2-norm, each gate's rounding and constants added up as quantum-sim.md §9.4 states, and the counts are drawn from a law within outcomes of the ideal outcome distribution in total variation"
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{
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"note": "the amplitudes are the same integers on every host; the state is within bound (bound_units at 2^-30) of the ideal state in the 2-norm, each gate's rounding and constants added up as quantum-sim.md §9.4 states, and the counts are drawn from a law within outcomes of the ideal outcome distribution in total variation"
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{
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"name": "ququart-bell",
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"about": "four correlated outcomes; F_4's entries are exact",
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"00",
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{
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"name": "six-level-bell",
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{
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"name": "qubit-ghz",
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{
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{
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{
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"name": "qutrit-fourier-powers",
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{
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"re": 536870912,
|
|
"im": 0
|
|
},
|
|
"3": {
|
|
"re": -536870912,
|
|
"im": 0
|
|
}
|
|
},
|
|
"state": {
|
|
"blake3": "59604053c18b3e49bafb0d18bd565d47e98da91da25cd30547807354cc04d036",
|
|
"amplitudes": 4,
|
|
"norm2": 1073741824
|
|
},
|
|
"constants": {
|
|
"blake3": "0bc240d517a49c6052b02e972d0592f8b21b342c782f8770f845cc88e61045a3"
|
|
},
|
|
"work": 428,
|
|
"accuracy": {
|
|
"class": "bit-exact",
|
|
"bound": 5.268356063861754e-9,
|
|
"bound_units": 5.656854249492381,
|
|
"outcomes": 2.107342431095817e-8,
|
|
"note": "the amplitudes are the same integers on every host; the state is within bound (bound_units at 2^-30) of the ideal state in the 2-norm, each gate's rounding and constants added up as quantum-sim.md §9.4 states, and the counts are drawn from a law within outcomes of the ideal outcome distribution in total variation"
|
|
}
|
|
}
|
|
},
|
|
{
|
|
"name": "ququart-exact",
|
|
"about": "permutations and the roots ±1, ±i: the ideal state exactly, bound 0",
|
|
"request": {
|
|
"d": 4,
|
|
"qudits": 3,
|
|
"gates": [
|
|
{
|
|
"gate": "shift",
|
|
"qudits": [
|
|
0
|
|
],
|
|
"power": 3
|
|
},
|
|
{
|
|
"gate": "csum",
|
|
"qudits": [
|
|
0,
|
|
2
|
|
],
|
|
"power": 2
|
|
},
|
|
{
|
|
"gate": "fourier",
|
|
"qudits": [
|
|
1
|
|
],
|
|
"power": 2
|
|
},
|
|
{
|
|
"gate": "clock",
|
|
"qudits": [
|
|
2
|
|
],
|
|
"power": 1
|
|
},
|
|
{
|
|
"gate": "phase",
|
|
"qudits": [
|
|
0
|
|
],
|
|
"powers": [
|
|
0,
|
|
1,
|
|
2,
|
|
3
|
|
]
|
|
},
|
|
{
|
|
"gate": "csum",
|
|
"qudits": [
|
|
2,
|
|
1
|
|
],
|
|
"power": 3
|
|
}
|
|
],
|
|
"shots": 64,
|
|
"seed": 9
|
|
},
|
|
"result": {
|
|
"answer": "run",
|
|
"d": 4,
|
|
"qudits": 3,
|
|
"gates": 6,
|
|
"shots": 64,
|
|
"seed": 9,
|
|
"counts": {
|
|
"223": 64
|
|
},
|
|
"distinct_outcomes": 1,
|
|
"omitted_shots": 0,
|
|
"outcomes": "each outcome is the qudits' digits, the highest-numbered qudit first",
|
|
"state": {
|
|
"blake3": "521e81d1f5ab5853b5ef6681332e35cb701f4c930fab32376e9384a1412bc091",
|
|
"amplitudes": 64,
|
|
"norm2": 1073741824
|
|
},
|
|
"constants": {
|
|
"blake3": "0bc240d517a49c6052b02e972d0592f8b21b342c782f8770f845cc88e61045a3"
|
|
},
|
|
"work": 576,
|
|
"accuracy": {
|
|
"class": "bit-exact",
|
|
"bound": 0.0,
|
|
"bound_units": 0.0,
|
|
"outcomes": 0.0,
|
|
"note": "the amplitudes are the same integers on every host; the state is within bound (bound_units at 2^-30) of the ideal state in the 2-norm, each gate's rounding and constants added up as quantum-sim.md §9.4 states, and the counts are drawn from a law within outcomes of the ideal outcome distribution in total variation"
|
|
}
|
|
}
|
|
},
|
|
{
|
|
"name": "six-level-roots",
|
|
"about": "every root of d = 6 as a phase, and Z^3 = diag(1, -1, ...)",
|
|
"request": {
|
|
"d": 6,
|
|
"qudits": 2,
|
|
"gates": [
|
|
{
|
|
"gate": "fourier",
|
|
"qudits": [
|
|
0
|
|
]
|
|
},
|
|
{
|
|
"gate": "fourier",
|
|
"qudits": [
|
|
1
|
|
]
|
|
},
|
|
{
|
|
"gate": "phase",
|
|
"qudits": [
|
|
0
|
|
],
|
|
"powers": [
|
|
0,
|
|
1,
|
|
2,
|
|
3,
|
|
4,
|
|
5
|
|
]
|
|
},
|
|
{
|
|
"gate": "clock",
|
|
"qudits": [
|
|
1
|
|
],
|
|
"power": 3
|
|
},
|
|
{
|
|
"gate": "csum",
|
|
"qudits": [
|
|
1,
|
|
0
|
|
],
|
|
"power": 5
|
|
},
|
|
{
|
|
"gate": "fourier",
|
|
"qudits": [
|
|
0
|
|
],
|
|
"power": 3
|
|
}
|
|
],
|
|
"shots": 3000,
|
|
"seed": 13,
|
|
"amplitudes": [
|
|
"00",
|
|
"05",
|
|
"50",
|
|
"55"
|
|
]
|
|
},
|
|
"result": {
|
|
"answer": "run",
|
|
"d": 6,
|
|
"qudits": 2,
|
|
"gates": 6,
|
|
"shots": 3000,
|
|
"seed": 13,
|
|
"counts": {
|
|
"31": 522,
|
|
"51": 514,
|
|
"41": 503,
|
|
"01": 494,
|
|
"11": 489,
|
|
"21": 478
|
|
},
|
|
"distinct_outcomes": 6,
|
|
"omitted_shots": 0,
|
|
"outcomes": "each outcome is the qudits' digits, the highest-numbered qudit first",
|
|
"amplitudes": {
|
|
"00": {
|
|
"re": 0,
|
|
"im": 0
|
|
},
|
|
"05": {
|
|
"re": -2,
|
|
"im": 0
|
|
},
|
|
"50": {
|
|
"re": 0,
|
|
"im": 0
|
|
},
|
|
"55": {
|
|
"re": -2,
|
|
"im": 0
|
|
}
|
|
},
|
|
"state": {
|
|
"blake3": "b4e5dda7a3853ac66995b624a137ebf01d1f8348d1463bd0307397f348a979b0",
|
|
"amplitudes": 36,
|
|
"norm2": 1073741828
|
|
},
|
|
"constants": {
|
|
"blake3": "15f24f2b6546ea838e9360b122e4172c4574097c6fabc61cea0980c920596715"
|
|
},
|
|
"work": 3828,
|
|
"accuracy": {
|
|
"class": "bit-exact",
|
|
"bound": 1.3698000121020534e-7,
|
|
"bound_units": 147.0811563509681,
|
|
"outcomes": 5.479200423678627e-7,
|
|
"note": "the amplitudes are the same integers on every host; the state is within bound (bound_units at 2^-30) of the ideal state in the 2-norm, each gate's rounding and constants added up as quantum-sim.md §9.4 states, and the counts are drawn from a law within outcomes of the ideal outcome distribution in total variation"
|
|
}
|
|
}
|
|
},
|
|
{
|
|
"name": "qutrit-seed-zero",
|
|
"about": "the qutrit Bell pair at seed 0",
|
|
"request": {
|
|
"d": 3,
|
|
"qudits": 2,
|
|
"gates": [
|
|
{
|
|
"gate": "fourier",
|
|
"qudits": [
|
|
0
|
|
]
|
|
},
|
|
{
|
|
"gate": "csum",
|
|
"qudits": [
|
|
0,
|
|
1
|
|
]
|
|
}
|
|
],
|
|
"shots": 999,
|
|
"seed": 0
|
|
},
|
|
"result": {
|
|
"answer": "run",
|
|
"d": 3,
|
|
"qudits": 2,
|
|
"gates": 2,
|
|
"shots": 999,
|
|
"seed": 0,
|
|
"counts": {
|
|
"00": 336,
|
|
"22": 336,
|
|
"11": 327
|
|
},
|
|
"distinct_outcomes": 3,
|
|
"omitted_shots": 0,
|
|
"outcomes": "each outcome is the qudits' digits, the highest-numbered qudit first",
|
|
"state": {
|
|
"blake3": "a701d2a787ddf4b8a83d161438eb016f8d041a1367f731be07c127f50115854a",
|
|
"amplitudes": 9,
|
|
"norm2": 1073741823
|
|
},
|
|
"constants": {
|
|
"blake3": "2f4a3854c397f95e152396701355baab1c14f1ba5a735c0d34378fd71b571d72"
|
|
},
|
|
"work": 1053,
|
|
"accuracy": {
|
|
"class": "bit-exact",
|
|
"bound": 1.1275151481664005e-8,
|
|
"bound_units": 12.106601717798211,
|
|
"outcomes": 4.51006061809141e-8,
|
|
"note": "the amplitudes are the same integers on every host; the state is within bound (bound_units at 2^-30) of the ideal state in the 2-norm, each gate's rounding and constants added up as quantum-sim.md §9.4 states, and the counts are drawn from a law within outcomes of the ideal outcome distribution in total variation"
|
|
}
|
|
}
|
|
},
|
|
{
|
|
"name": "qutrit-seed-most",
|
|
"about": "the qutrit Bell pair at the largest seed, 2^53 - 1",
|
|
"request": {
|
|
"d": 3,
|
|
"qudits": 2,
|
|
"gates": [
|
|
{
|
|
"gate": "fourier",
|
|
"qudits": [
|
|
0
|
|
]
|
|
},
|
|
{
|
|
"gate": "csum",
|
|
"qudits": [
|
|
0,
|
|
1
|
|
]
|
|
}
|
|
],
|
|
"shots": 999,
|
|
"seed": 9007199254740991
|
|
},
|
|
"result": {
|
|
"answer": "run",
|
|
"d": 3,
|
|
"qudits": 2,
|
|
"gates": 2,
|
|
"shots": 999,
|
|
"seed": 9007199254740991,
|
|
"counts": {
|
|
"11": 360,
|
|
"00": 322,
|
|
"22": 317
|
|
},
|
|
"distinct_outcomes": 3,
|
|
"omitted_shots": 0,
|
|
"outcomes": "each outcome is the qudits' digits, the highest-numbered qudit first",
|
|
"state": {
|
|
"blake3": "a701d2a787ddf4b8a83d161438eb016f8d041a1367f731be07c127f50115854a",
|
|
"amplitudes": 9,
|
|
"norm2": 1073741823
|
|
},
|
|
"constants": {
|
|
"blake3": "2f4a3854c397f95e152396701355baab1c14f1ba5a735c0d34378fd71b571d72"
|
|
},
|
|
"work": 1053,
|
|
"accuracy": {
|
|
"class": "bit-exact",
|
|
"bound": 1.1275151481664005e-8,
|
|
"bound_units": 12.106601717798211,
|
|
"outcomes": 4.51006061809141e-8,
|
|
"note": "the amplitudes are the same integers on every host; the state is within bound (bound_units at 2^-30) of the ideal state in the 2-norm, each gate's rounding and constants added up as quantum-sim.md §9.4 states, and the counts are drawn from a law within outcomes of the ideal outcome distribution in total variation"
|
|
}
|
|
}
|
|
},
|
|
{
|
|
"name": "qutrit-defaults",
|
|
"about": "shots and seed left out: 1024 shots at seed 1; a power left out is 1",
|
|
"request": {
|
|
"d": 3,
|
|
"qudits": 1,
|
|
"gates": [
|
|
{
|
|
"gate": "fourier",
|
|
"qudits": [
|
|
0
|
|
]
|
|
},
|
|
{
|
|
"gate": "clock",
|
|
"qudits": [
|
|
0
|
|
]
|
|
}
|
|
]
|
|
},
|
|
"result": {
|
|
"answer": "run",
|
|
"d": 3,
|
|
"qudits": 1,
|
|
"gates": 2,
|
|
"shots": 1024,
|
|
"seed": 1,
|
|
"counts": {
|
|
"1": 356,
|
|
"2": 338,
|
|
"0": 330
|
|
},
|
|
"distinct_outcomes": 3,
|
|
"omitted_shots": 0,
|
|
"outcomes": "each outcome is the qudits' digits, the highest-numbered qudit first",
|
|
"state": {
|
|
"blake3": "0baf9bb5c565cc7f2072583f85c218f52b17c3496cfc0867fa55f92d2f06f166",
|
|
"amplitudes": 3,
|
|
"norm2": 1073741823
|
|
},
|
|
"constants": {
|
|
"blake3": "2f4a3854c397f95e152396701355baab1c14f1ba5a735c0d34378fd71b571d72"
|
|
},
|
|
"work": 1042,
|
|
"accuracy": {
|
|
"class": "bit-exact",
|
|
"bound": 9.847072980637845e-9,
|
|
"bound_units": 10.573214103291196,
|
|
"outcomes": 3.938829211648107e-8,
|
|
"note": "the amplitudes are the same integers on every host; the state is within bound (bound_units at 2^-30) of the ideal state in the 2-norm, each gate's rounding and constants added up as quantum-sim.md §9.4 states, and the counts are drawn from a law within outcomes of the ideal outcome distribution in total variation"
|
|
}
|
|
}
|
|
},
|
|
{
|
|
"name": "no-gates",
|
|
"about": "the register |0...0>, measured",
|
|
"request": {
|
|
"d": 6,
|
|
"qudits": 3,
|
|
"gates": [],
|
|
"shots": 10,
|
|
"seed": 1,
|
|
"amplitudes": [
|
|
"000",
|
|
"555"
|
|
]
|
|
},
|
|
"result": {
|
|
"answer": "run",
|
|
"d": 6,
|
|
"qudits": 3,
|
|
"gates": 0,
|
|
"shots": 10,
|
|
"seed": 1,
|
|
"counts": {
|
|
"000": 10
|
|
},
|
|
"distinct_outcomes": 1,
|
|
"omitted_shots": 0,
|
|
"outcomes": "each outcome is the qudits' digits, the highest-numbered qudit first",
|
|
"amplitudes": {
|
|
"000": {
|
|
"re": 1073741824,
|
|
"im": 0
|
|
},
|
|
"555": {
|
|
"re": 0,
|
|
"im": 0
|
|
}
|
|
},
|
|
"state": {
|
|
"blake3": "23ae46ffac0510f88784dcf24885c73635168b6478c4e8316614fd8fd8ac45bf",
|
|
"amplitudes": 216,
|
|
"norm2": 1073741824
|
|
},
|
|
"constants": {
|
|
"blake3": "15f24f2b6546ea838e9360b122e4172c4574097c6fabc61cea0980c920596715"
|
|
},
|
|
"work": 442,
|
|
"accuracy": {
|
|
"class": "bit-exact",
|
|
"bound": 0.0,
|
|
"bound_units": 0.0,
|
|
"outcomes": 0.0,
|
|
"note": "the amplitudes are the same integers on every host; the state is within bound (bound_units at 2^-30) of the ideal state in the 2-norm, each gate's rounding and constants added up as quantum-sim.md §9.4 states, and the counts are drawn from a law within outcomes of the ideal outcome distribution in total variation"
|
|
}
|
|
}
|
|
},
|
|
{
|
|
"name": "qubit-fourier-column",
|
|
"about": "F|1>: a column of F_2, every entry as held",
|
|
"request": {
|
|
"d": 2,
|
|
"qudits": 1,
|
|
"gates": [
|
|
{
|
|
"gate": "shift",
|
|
"qudits": [
|
|
0
|
|
]
|
|
},
|
|
{
|
|
"gate": "fourier",
|
|
"qudits": [
|
|
0
|
|
],
|
|
"power": 1
|
|
}
|
|
],
|
|
"shots": 600,
|
|
"seed": 17,
|
|
"amplitudes": [
|
|
"0",
|
|
"1"
|
|
]
|
|
},
|
|
"result": {
|
|
"answer": "run",
|
|
"d": 2,
|
|
"qudits": 1,
|
|
"gates": 2,
|
|
"shots": 600,
|
|
"seed": 17,
|
|
"counts": {
|
|
"1": 312,
|
|
"0": 288
|
|
},
|
|
"distinct_outcomes": 2,
|
|
"omitted_shots": 0,
|
|
"outcomes": "each outcome is the qudits' digits, the highest-numbered qudit first",
|
|
"amplitudes": {
|
|
"0": {
|
|
"re": 759250125,
|
|
"im": 0
|
|
},
|
|
"1": {
|
|
"re": -759250125,
|
|
"im": 0
|
|
}
|
|
},
|
|
"state": {
|
|
"blake3": "3d901bf5bf6f29e482f3695f68aa19bc9cb62d000e9a807b3ec64cf3f68454c9",
|
|
"amplitudes": 2,
|
|
"norm2": 1073741824
|
|
},
|
|
"constants": {
|
|
"blake3": "fa5e6bc7fe53b14b4e5917caeb9b8028ae316c7f619bdd5c292565c9360b9dbf"
|
|
},
|
|
"work": 610,
|
|
"accuracy": {
|
|
"class": "bit-exact",
|
|
"bound": 2.7939677238464355e-9,
|
|
"bound_units": 3.0,
|
|
"outcomes": 1.1175870910998253e-8,
|
|
"note": "the amplitudes are the same integers on every host; the state is within bound (bound_units at 2^-30) of the ideal state in the 2-norm, each gate's rounding and constants added up as quantum-sim.md §9.4 states, and the counts are drawn from a law within outcomes of the ideal outcome distribution in total variation"
|
|
}
|
|
}
|
|
},
|
|
{
|
|
"name": "qutrit-fourier-column",
|
|
"about": "F|1>: a column of F_3, every entry as held",
|
|
"request": {
|
|
"d": 3,
|
|
"qudits": 1,
|
|
"gates": [
|
|
{
|
|
"gate": "shift",
|
|
"qudits": [
|
|
0
|
|
]
|
|
},
|
|
{
|
|
"gate": "fourier",
|
|
"qudits": [
|
|
0
|
|
],
|
|
"power": 1
|
|
}
|
|
],
|
|
"shots": 600,
|
|
"seed": 17,
|
|
"amplitudes": [
|
|
"0",
|
|
"1",
|
|
"2"
|
|
]
|
|
},
|
|
"result": {
|
|
"answer": "run",
|
|
"d": 3,
|
|
"qudits": 1,
|
|
"gates": 2,
|
|
"shots": 600,
|
|
"seed": 17,
|
|
"counts": {
|
|
"2": 213,
|
|
"0": 198,
|
|
"1": 189
|
|
},
|
|
"distinct_outcomes": 3,
|
|
"omitted_shots": 0,
|
|
"outcomes": "each outcome is the qudits' digits, the highest-numbered qudit first",
|
|
"amplitudes": {
|
|
"0": {
|
|
"re": 619925131,
|
|
"im": 0
|
|
},
|
|
"1": {
|
|
"re": -309962566,
|
|
"im": 536870912
|
|
},
|
|
"2": {
|
|
"re": -309962566,
|
|
"im": -536870912
|
|
}
|
|
},
|
|
"state": {
|
|
"blake3": "2e037a40e768151862a937ce7755afbdb812526e360403e44126830a5d2cfa35",
|
|
"amplitudes": 3,
|
|
"norm2": 1073741824
|
|
},
|
|
"constants": {
|
|
"blake3": "2f4a3854c397f95e152396701355baab1c14f1ba5a735c0d34378fd71b571d72"
|
|
},
|
|
"work": 618,
|
|
"accuracy": {
|
|
"class": "bit-exact",
|
|
"bound": 7.100146596280807e-9,
|
|
"bound_units": 7.623724356957945,
|
|
"outcomes": 2.8400586485947392e-8,
|
|
"note": "the amplitudes are the same integers on every host; the state is within bound (bound_units at 2^-30) of the ideal state in the 2-norm, each gate's rounding and constants added up as quantum-sim.md §9.4 states, and the counts are drawn from a law within outcomes of the ideal outcome distribution in total variation"
|
|
}
|
|
}
|
|
},
|
|
{
|
|
"name": "qutrit-inverse-column",
|
|
"about": "F-dagger|1>: a column of F_3's inverse, every entry as held",
|
|
"request": {
|
|
"d": 3,
|
|
"qudits": 1,
|
|
"gates": [
|
|
{
|
|
"gate": "shift",
|
|
"qudits": [
|
|
0
|
|
]
|
|
},
|
|
{
|
|
"gate": "fourier",
|
|
"qudits": [
|
|
0
|
|
],
|
|
"power": 3
|
|
}
|
|
],
|
|
"shots": 600,
|
|
"seed": 17,
|
|
"amplitudes": [
|
|
"0",
|
|
"1",
|
|
"2"
|
|
]
|
|
},
|
|
"result": {
|
|
"answer": "run",
|
|
"d": 3,
|
|
"qudits": 1,
|
|
"gates": 2,
|
|
"shots": 600,
|
|
"seed": 17,
|
|
"counts": {
|
|
"2": 213,
|
|
"0": 198,
|
|
"1": 189
|
|
},
|
|
"distinct_outcomes": 3,
|
|
"omitted_shots": 0,
|
|
"outcomes": "each outcome is the qudits' digits, the highest-numbered qudit first",
|
|
"amplitudes": {
|
|
"0": {
|
|
"re": 619925131,
|
|
"im": 0
|
|
},
|
|
"1": {
|
|
"re": -309962566,
|
|
"im": -536870912
|
|
},
|
|
"2": {
|
|
"re": -309962566,
|
|
"im": 536870912
|
|
}
|
|
},
|
|
"state": {
|
|
"blake3": "9f239c12809f179a07c6e2b2c098d64542c74342817ae6239e926352272b2c0c",
|
|
"amplitudes": 3,
|
|
"norm2": 1073741824
|
|
},
|
|
"constants": {
|
|
"blake3": "2f4a3854c397f95e152396701355baab1c14f1ba5a735c0d34378fd71b571d72"
|
|
},
|
|
"work": 618,
|
|
"accuracy": {
|
|
"class": "bit-exact",
|
|
"bound": 7.100146596280807e-9,
|
|
"bound_units": 7.623724356957945,
|
|
"outcomes": 2.8400586485947392e-8,
|
|
"note": "the amplitudes are the same integers on every host; the state is within bound (bound_units at 2^-30) of the ideal state in the 2-norm, each gate's rounding and constants added up as quantum-sim.md §9.4 states, and the counts are drawn from a law within outcomes of the ideal outcome distribution in total variation"
|
|
}
|
|
}
|
|
},
|
|
{
|
|
"name": "ququart-fourier-column",
|
|
"about": "F|1>: a column of F_4, every entry as held",
|
|
"request": {
|
|
"d": 4,
|
|
"qudits": 1,
|
|
"gates": [
|
|
{
|
|
"gate": "shift",
|
|
"qudits": [
|
|
0
|
|
]
|
|
},
|
|
{
|
|
"gate": "fourier",
|
|
"qudits": [
|
|
0
|
|
],
|
|
"power": 1
|
|
}
|
|
],
|
|
"shots": 600,
|
|
"seed": 17,
|
|
"amplitudes": [
|
|
"0",
|
|
"1",
|
|
"2",
|
|
"3"
|
|
]
|
|
},
|
|
"result": {
|
|
"answer": "run",
|
|
"d": 4,
|
|
"qudits": 1,
|
|
"gates": 2,
|
|
"shots": 600,
|
|
"seed": 17,
|
|
"counts": {
|
|
"2": 156,
|
|
"3": 156,
|
|
"0": 147,
|
|
"1": 141
|
|
},
|
|
"distinct_outcomes": 4,
|
|
"omitted_shots": 0,
|
|
"outcomes": "each outcome is the qudits' digits, the highest-numbered qudit first",
|
|
"amplitudes": {
|
|
"0": {
|
|
"re": 536870912,
|
|
"im": 0
|
|
},
|
|
"1": {
|
|
"re": 0,
|
|
"im": 536870912
|
|
},
|
|
"2": {
|
|
"re": -536870912,
|
|
"im": 0
|
|
},
|
|
"3": {
|
|
"re": 0,
|
|
"im": -536870912
|
|
}
|
|
},
|
|
"state": {
|
|
"blake3": "6582ee52e861d07c125664b864f8189f47a697e82b461087aa6e1c4a482eba46",
|
|
"amplitudes": 4,
|
|
"norm2": 1073741824
|
|
},
|
|
"constants": {
|
|
"blake3": "0bc240d517a49c6052b02e972d0592f8b21b342c782f8770f845cc88e61045a3"
|
|
},
|
|
"work": 628,
|
|
"accuracy": {
|
|
"class": "bit-exact",
|
|
"bound": 5.268356063861754e-9,
|
|
"bound_units": 5.656854249492381,
|
|
"outcomes": 2.107342431095817e-8,
|
|
"note": "the amplitudes are the same integers on every host; the state is within bound (bound_units at 2^-30) of the ideal state in the 2-norm, each gate's rounding and constants added up as quantum-sim.md §9.4 states, and the counts are drawn from a law within outcomes of the ideal outcome distribution in total variation"
|
|
}
|
|
}
|
|
},
|
|
{
|
|
"name": "six-level-fourier-column",
|
|
"about": "F|1>: a column of F_6, every entry as held",
|
|
"request": {
|
|
"d": 6,
|
|
"qudits": 1,
|
|
"gates": [
|
|
{
|
|
"gate": "shift",
|
|
"qudits": [
|
|
0
|
|
]
|
|
},
|
|
{
|
|
"gate": "fourier",
|
|
"qudits": [
|
|
0
|
|
],
|
|
"power": 1
|
|
}
|
|
],
|
|
"shots": 600,
|
|
"seed": 17,
|
|
"amplitudes": [
|
|
"0",
|
|
"1",
|
|
"2",
|
|
"3",
|
|
"4",
|
|
"5"
|
|
]
|
|
},
|
|
"result": {
|
|
"answer": "run",
|
|
"d": 6,
|
|
"qudits": 1,
|
|
"gates": 2,
|
|
"shots": 600,
|
|
"seed": 17,
|
|
"counts": {
|
|
"4": 111,
|
|
"0": 103,
|
|
"5": 102,
|
|
"3": 99,
|
|
"1": 95,
|
|
"2": 90
|
|
},
|
|
"distinct_outcomes": 6,
|
|
"omitted_shots": 0,
|
|
"outcomes": "each outcome is the qudits' digits, the highest-numbered qudit first",
|
|
"amplitudes": {
|
|
"0": {
|
|
"re": 438353264,
|
|
"im": 0
|
|
},
|
|
"1": {
|
|
"re": 219176632,
|
|
"im": 379625062
|
|
},
|
|
"2": {
|
|
"re": -219176632,
|
|
"im": 379625062
|
|
},
|
|
"3": {
|
|
"re": -438353264,
|
|
"im": 0
|
|
},
|
|
"4": {
|
|
"re": -219176632,
|
|
"im": -379625062
|
|
},
|
|
"5": {
|
|
"re": 219176632,
|
|
"im": -379625062
|
|
}
|
|
},
|
|
"state": {
|
|
"blake3": "ba01ac99b5b7e4f7c1b81d6265de3fc029838251d90fffdb19507d02d3226404",
|
|
"amplitudes": 6,
|
|
"norm2": 1073741822
|
|
},
|
|
"constants": {
|
|
"blake3": "15f24f2b6546ea838e9360b122e4172c4574097c6fabc61cea0980c920596715"
|
|
},
|
|
"work": 654,
|
|
"accuracy": {
|
|
"class": "bit-exact",
|
|
"bound": 1.9488911471471897e-8,
|
|
"bound_units": 20.92605935115276,
|
|
"outcomes": 7.795564664552292e-8,
|
|
"note": "the amplitudes are the same integers on every host; the state is within bound (bound_units at 2^-30) of the ideal state in the 2-norm, each gate's rounding and constants added up as quantum-sim.md §9.4 states, and the counts are drawn from a law within outcomes of the ideal outcome distribution in total variation"
|
|
}
|
|
}
|
|
},
|
|
{
|
|
"name": "six-level-inverse-column",
|
|
"about": "F-dagger|1>: a column of F_6's inverse, every entry as held",
|
|
"request": {
|
|
"d": 6,
|
|
"qudits": 1,
|
|
"gates": [
|
|
{
|
|
"gate": "shift",
|
|
"qudits": [
|
|
0
|
|
]
|
|
},
|
|
{
|
|
"gate": "fourier",
|
|
"qudits": [
|
|
0
|
|
],
|
|
"power": 3
|
|
}
|
|
],
|
|
"shots": 600,
|
|
"seed": 17,
|
|
"amplitudes": [
|
|
"0",
|
|
"1",
|
|
"2",
|
|
"3",
|
|
"4",
|
|
"5"
|
|
]
|
|
},
|
|
"result": {
|
|
"answer": "run",
|
|
"d": 6,
|
|
"qudits": 1,
|
|
"gates": 2,
|
|
"shots": 600,
|
|
"seed": 17,
|
|
"counts": {
|
|
"4": 111,
|
|
"0": 103,
|
|
"5": 102,
|
|
"3": 99,
|
|
"1": 95,
|
|
"2": 90
|
|
},
|
|
"distinct_outcomes": 6,
|
|
"omitted_shots": 0,
|
|
"outcomes": "each outcome is the qudits' digits, the highest-numbered qudit first",
|
|
"amplitudes": {
|
|
"0": {
|
|
"re": 438353264,
|
|
"im": 0
|
|
},
|
|
"1": {
|
|
"re": 219176632,
|
|
"im": -379625062
|
|
},
|
|
"2": {
|
|
"re": -219176632,
|
|
"im": -379625062
|
|
},
|
|
"3": {
|
|
"re": -438353264,
|
|
"im": 0
|
|
},
|
|
"4": {
|
|
"re": -219176632,
|
|
"im": 379625062
|
|
},
|
|
"5": {
|
|
"re": 219176632,
|
|
"im": 379625062
|
|
}
|
|
},
|
|
"state": {
|
|
"blake3": "388630933c69df3439d11a1bfb4d743f65bdde6d687b4ad95660a213272daaad",
|
|
"amplitudes": 6,
|
|
"norm2": 1073741822
|
|
},
|
|
"constants": {
|
|
"blake3": "15f24f2b6546ea838e9360b122e4172c4574097c6fabc61cea0980c920596715"
|
|
},
|
|
"work": 654,
|
|
"accuracy": {
|
|
"class": "bit-exact",
|
|
"bound": 1.9488911471471897e-8,
|
|
"bound_units": 20.92605935115276,
|
|
"outcomes": 7.795564664552292e-8,
|
|
"note": "the amplitudes are the same integers on every host; the state is within bound (bound_units at 2^-30) of the ideal state in the 2-norm, each gate's rounding and constants added up as quantum-sim.md §9.4 states, and the counts are drawn from a law within outcomes of the ideal outcome distribution in total variation"
|
|
}
|
|
}
|
|
},
|
|
{
|
|
"name": "qubit-walk",
|
|
"about": "a walk of every gate on 4 qubits",
|
|
"request": {
|
|
"d": 2,
|
|
"qudits": 4,
|
|
"gates": [
|
|
{
|
|
"gate": "clock",
|
|
"qudits": [
|
|
2
|
|
],
|
|
"power": 1
|
|
},
|
|
{
|
|
"gate": "shift",
|
|
"qudits": [
|
|
2
|
|
],
|
|
"power": 0
|
|
},
|
|
{
|
|
"gate": "csum",
|
|
"qudits": [
|
|
2,
|
|
0
|
|
],
|
|
"power": 0
|
|
},
|
|
{
|
|
"gate": "fourier",
|
|
"qudits": [
|
|
3
|
|
],
|
|
"power": 0
|
|
},
|
|
{
|
|
"gate": "shift",
|
|
"qudits": [
|
|
2
|
|
],
|
|
"power": 0
|
|
},
|
|
{
|
|
"gate": "shift",
|
|
"qudits": [
|
|
3
|
|
],
|
|
"power": 0
|
|
},
|
|
{
|
|
"gate": "clock",
|
|
"qudits": [
|
|
3
|
|
],
|
|
"power": 1
|
|
},
|
|
{
|
|
"gate": "phase",
|
|
"qudits": [
|
|
2
|
|
],
|
|
"powers": [
|
|
0,
|
|
0
|
|
]
|
|
},
|
|
{
|
|
"gate": "fourier",
|
|
"qudits": [
|
|
1
|
|
],
|
|
"power": 2
|
|
},
|
|
{
|
|
"gate": "csum",
|
|
"qudits": [
|
|
0,
|
|
1
|
|
],
|
|
"power": 1
|
|
},
|
|
{
|
|
"gate": "clock",
|
|
"qudits": [
|
|
2
|
|
],
|
|
"power": 0
|
|
},
|
|
{
|
|
"gate": "fourier",
|
|
"qudits": [
|
|
1
|
|
],
|
|
"power": 2
|
|
},
|
|
{
|
|
"gate": "csum",
|
|
"qudits": [
|
|
0,
|
|
1
|
|
],
|
|
"power": 1
|
|
},
|
|
{
|
|
"gate": "csum",
|
|
"qudits": [
|
|
1,
|
|
2
|
|
],
|
|
"power": 1
|
|
},
|
|
{
|
|
"gate": "csum",
|
|
"qudits": [
|
|
0,
|
|
2
|
|
],
|
|
"power": 0
|
|
},
|
|
{
|
|
"gate": "shift",
|
|
"qudits": [
|
|
0
|
|
],
|
|
"power": 0
|
|
},
|
|
{
|
|
"gate": "phase",
|
|
"qudits": [
|
|
3
|
|
],
|
|
"powers": [
|
|
0,
|
|
0
|
|
]
|
|
},
|
|
{
|
|
"gate": "shift",
|
|
"qudits": [
|
|
1
|
|
],
|
|
"power": 1
|
|
},
|
|
{
|
|
"gate": "fourier",
|
|
"qudits": [
|
|
3
|
|
],
|
|
"power": 3
|
|
},
|
|
{
|
|
"gate": "csum",
|
|
"qudits": [
|
|
2,
|
|
1
|
|
],
|
|
"power": 1
|
|
},
|
|
{
|
|
"gate": "csum",
|
|
"qudits": [
|
|
3,
|
|
0
|
|
],
|
|
"power": 0
|
|
},
|
|
{
|
|
"gate": "clock",
|
|
"qudits": [
|
|
3
|
|
],
|
|
"power": 1
|
|
},
|
|
{
|
|
"gate": "phase",
|
|
"qudits": [
|
|
3
|
|
],
|
|
"powers": [
|
|
0,
|
|
1
|
|
]
|
|
},
|
|
{
|
|
"gate": "phase",
|
|
"qudits": [
|
|
0
|
|
],
|
|
"powers": [
|
|
0,
|
|
0
|
|
]
|
|
},
|
|
{
|
|
"gate": "csum",
|
|
"qudits": [
|
|
0,
|
|
3
|
|
],
|
|
"power": 1
|
|
},
|
|
{
|
|
"gate": "csum",
|
|
"qudits": [
|
|
2,
|
|
3
|
|
],
|
|
"power": 1
|
|
},
|
|
{
|
|
"gate": "csum",
|
|
"qudits": [
|
|
0,
|
|
3
|
|
],
|
|
"power": 1
|
|
},
|
|
{
|
|
"gate": "phase",
|
|
"qudits": [
|
|
2
|
|
],
|
|
"powers": [
|
|
0,
|
|
1
|
|
]
|
|
},
|
|
{
|
|
"gate": "csum",
|
|
"qudits": [
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|
2,
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|
3
|
|
],
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|
"power": 0
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|
},
|
|
{
|
|
"gate": "shift",
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|
"qudits": [
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|
3
|
|
],
|
|
"power": 1
|
|
},
|
|
{
|
|
"gate": "csum",
|
|
"qudits": [
|
|
1,
|
|
0
|
|
],
|
|
"power": 1
|
|
},
|
|
{
|
|
"gate": "csum",
|
|
"qudits": [
|
|
0,
|
|
2
|
|
],
|
|
"power": 0
|
|
},
|
|
{
|
|
"gate": "csum",
|
|
"qudits": [
|
|
1,
|
|
3
|
|
],
|
|
"power": 1
|
|
},
|
|
{
|
|
"gate": "csum",
|
|
"qudits": [
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|
0,
|
|
3
|
|
],
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|
"power": 0
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|
},
|
|
{
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|
"gate": "phase",
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"qudits": [
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|
1
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|
],
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|
"powers": [
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0,
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|
0
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]
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},
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{
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|
"gate": "phase",
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"qudits": [
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|
2
|
|
],
|
|
"powers": [
|
|
1,
|
|
0
|
|
]
|
|
},
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|
{
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|
"gate": "phase",
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|
"qudits": [
|
|
0
|
|
],
|
|
"powers": [
|
|
1,
|
|
1
|
|
]
|
|
},
|
|
{
|
|
"gate": "clock",
|
|
"qudits": [
|
|
0
|
|
],
|
|
"power": 0
|
|
},
|
|
{
|
|
"gate": "shift",
|
|
"qudits": [
|
|
2
|
|
],
|
|
"power": 1
|
|
},
|
|
{
|
|
"gate": "phase",
|
|
"qudits": [
|
|
1
|
|
],
|
|
"powers": [
|
|
1,
|
|
1
|
|
]
|
|
}
|
|
],
|
|
"shots": 2000,
|
|
"seed": 1
|
|
},
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|
"result": {
|
|
"answer": "run",
|
|
"d": 2,
|
|
"qudits": 4,
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|
"gates": 40,
|
|
"shots": 2000,
|
|
"seed": 1,
|
|
"counts": {
|
|
"1111": 1032,
|
|
"0111": 968
|
|
},
|
|
"distinct_outcomes": 2,
|
|
"omitted_shots": 0,
|
|
"outcomes": "each outcome is the qudits' digits, the highest-numbered qudit first",
|
|
"state": {
|
|
"blake3": "0aa957b2926f4cafaa8fc1a51107987dd50e858ee2bb380edc5db9175a7d74a0",
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|
"amplitudes": 16,
|
|
"norm2": 1073741824
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|
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|
"constants": {
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|
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|
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|
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|
"bound": 6.199678638477233e-9,
|
|
"bound_units": 6.656854249492381,
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|
"outcomes": 2.479871463078096e-8,
|
|
"note": "the amplitudes are the same integers on every host; the state is within bound (bound_units at 2^-30) of the ideal state in the 2-norm, each gate's rounding and constants added up as quantum-sim.md §9.4 states, and the counts are drawn from a law within outcomes of the ideal outcome distribution in total variation"
|
|
}
|
|
}
|
|
},
|
|
{
|
|
"name": "qutrit-walk",
|
|
"about": "a walk of every gate on 4 qutrits",
|
|
"request": {
|
|
"d": 3,
|
|
"qudits": 4,
|
|
"gates": [
|
|
{
|
|
"gate": "clock",
|
|
"qudits": [
|
|
0
|
|
],
|
|
"power": 0
|
|
},
|
|
{
|
|
"gate": "csum",
|
|
"qudits": [
|
|
0,
|
|
1
|
|
],
|
|
"power": 2
|
|
},
|
|
{
|
|
"gate": "fourier",
|
|
"qudits": [
|
|
2
|
|
],
|
|
"power": 3
|
|
},
|
|
{
|
|
"gate": "csum",
|
|
"qudits": [
|
|
2,
|
|
3
|
|
],
|
|
"power": 1
|
|
},
|
|
{
|
|
"gate": "phase",
|
|
"qudits": [
|
|
2
|
|
],
|
|
"powers": [
|
|
2,
|
|
1,
|
|
2
|
|
]
|
|
},
|
|
{
|
|
"gate": "csum",
|
|
"qudits": [
|
|
2,
|
|
0
|
|
],
|
|
"power": 2
|
|
},
|
|
{
|
|
"gate": "fourier",
|
|
"qudits": [
|
|
2
|
|
],
|
|
"power": 3
|
|
},
|
|
{
|
|
"gate": "fourier",
|
|
"qudits": [
|
|
3
|
|
],
|
|
"power": 1
|
|
},
|
|
{
|
|
"gate": "csum",
|
|
"qudits": [
|
|
2,
|
|
1
|
|
],
|
|
"power": 0
|
|
},
|
|
{
|
|
"gate": "csum",
|
|
"qudits": [
|
|
0,
|
|
1
|
|
],
|
|
"power": 0
|
|
},
|
|
{
|
|
"gate": "phase",
|
|
"qudits": [
|
|
0
|
|
],
|
|
"powers": [
|
|
1,
|
|
2,
|
|
2
|
|
]
|
|
},
|
|
{
|
|
"gate": "fourier",
|
|
"qudits": [
|
|
3
|
|
],
|
|
"power": 3
|
|
},
|
|
{
|
|
"gate": "shift",
|
|
"qudits": [
|
|
1
|
|
],
|
|
"power": 0
|
|
},
|
|
{
|
|
"gate": "clock",
|
|
"qudits": [
|
|
0
|
|
],
|
|
"power": 0
|
|
},
|
|
{
|
|
"gate": "shift",
|
|
"qudits": [
|
|
3
|
|
],
|
|
"power": 0
|
|
},
|
|
{
|
|
"gate": "fourier",
|
|
"qudits": [
|
|
2
|
|
],
|
|
"power": 1
|
|
},
|
|
{
|
|
"gate": "phase",
|
|
"qudits": [
|
|
1
|
|
],
|
|
"powers": [
|
|
2,
|
|
2,
|
|
0
|
|
]
|
|
},
|
|
{
|
|
"gate": "csum",
|
|
"qudits": [
|
|
3,
|
|
2
|
|
],
|
|
"power": 2
|
|
},
|
|
{
|
|
"gate": "clock",
|
|
"qudits": [
|
|
2
|
|
],
|
|
"power": 1
|
|
},
|
|
{
|
|
"gate": "clock",
|
|
"qudits": [
|
|
2
|
|
],
|
|
"power": 1
|
|
},
|
|
{
|
|
"gate": "csum",
|
|
"qudits": [
|
|
2,
|
|
3
|
|
],
|
|
"power": 0
|
|
},
|
|
{
|
|
"gate": "phase",
|
|
"qudits": [
|
|
3
|
|
],
|
|
"powers": [
|
|
1,
|
|
0,
|
|
1
|
|
]
|
|
},
|
|
{
|
|
"gate": "csum",
|
|
"qudits": [
|
|
1,
|
|
2
|
|
],
|
|
"power": 0
|
|
},
|
|
{
|
|
"gate": "csum",
|
|
"qudits": [
|
|
1,
|
|
3
|
|
],
|
|
"power": 2
|
|
},
|
|
{
|
|
"gate": "fourier",
|
|
"qudits": [
|
|
1
|
|
],
|
|
"power": 3
|
|
},
|
|
{
|
|
"gate": "shift",
|
|
"qudits": [
|
|
2
|
|
],
|
|
"power": 2
|
|
},
|
|
{
|
|
"gate": "fourier",
|
|
"qudits": [
|
|
0
|
|
],
|
|
"power": 3
|
|
},
|
|
{
|
|
"gate": "clock",
|
|
"qudits": [
|
|
0
|
|
],
|
|
"power": 2
|
|
},
|
|
{
|
|
"gate": "fourier",
|
|
"qudits": [
|
|
0
|
|
],
|
|
"power": 3
|
|
},
|
|
{
|
|
"gate": "fourier",
|
|
"qudits": [
|
|
2
|
|
],
|
|
"power": 3
|
|
},
|
|
{
|
|
"gate": "csum",
|
|
"qudits": [
|
|
2,
|
|
0
|
|
],
|
|
"power": 0
|
|
},
|
|
{
|
|
"gate": "csum",
|
|
"qudits": [
|
|
3,
|
|
2
|
|
],
|
|
"power": 2
|
|
},
|
|
{
|
|
"gate": "phase",
|
|
"qudits": [
|
|
2
|
|
],
|
|
"powers": [
|
|
0,
|
|
1,
|
|
1
|
|
]
|
|
},
|
|
{
|
|
"gate": "csum",
|
|
"qudits": [
|
|
1,
|
|
0
|
|
],
|
|
"power": 1
|
|
},
|
|
{
|
|
"gate": "shift",
|
|
"qudits": [
|
|
3
|
|
],
|
|
"power": 1
|
|
},
|
|
{
|
|
"gate": "fourier",
|
|
"qudits": [
|
|
3
|
|
],
|
|
"power": 0
|
|
},
|
|
{
|
|
"gate": "clock",
|
|
"qudits": [
|
|
1
|
|
],
|
|
"power": 1
|
|
},
|
|
{
|
|
"gate": "csum",
|
|
"qudits": [
|
|
1,
|
|
3
|
|
],
|
|
"power": 1
|
|
},
|
|
{
|
|
"gate": "shift",
|
|
"qudits": [
|
|
2
|
|
],
|
|
"power": 1
|
|
},
|
|
{
|
|
"gate": "phase",
|
|
"qudits": [
|
|
3
|
|
],
|
|
"powers": [
|
|
1,
|
|
1,
|
|
0
|
|
]
|
|
}
|
|
],
|
|
"shots": 2000,
|
|
"seed": 2
|
|
},
|
|
"result": {
|
|
"answer": "run",
|
|
"d": 3,
|
|
"qudits": 4,
|
|
"gates": 40,
|
|
"shots": 2000,
|
|
"seed": 2,
|
|
"counts": {
|
|
"2020": 87,
|
|
"0201": 85,
|
|
"1212": 83,
|
|
"1202": 82,
|
|
"1222": 82,
|
|
"0001": 80,
|
|
"0111": 80,
|
|
"1012": 80,
|
|
"0011": 79,
|
|
"0121": 79,
|
|
"1102": 79,
|
|
"2120": 79,
|
|
"2220": 77,
|
|
"0221": 76,
|
|
"2000": 76,
|
|
"0021": 74,
|
|
"1002": 74,
|
|
"2110": 72,
|
|
"1112": 70,
|
|
"0101": 68,
|
|
"2210": 68,
|
|
"1122": 67,
|
|
"2010": 65,
|
|
"0211": 63,
|
|
"1022": 62,
|
|
"2100": 60,
|
|
"2200": 53
|
|
},
|
|
"distinct_outcomes": 27,
|
|
"omitted_shots": 0,
|
|
"outcomes": "each outcome is the qudits' digits, the highest-numbered qudit first",
|
|
"state": {
|
|
"blake3": "4adf1a43f5a3757090259e5b78278277b2dc49e57b258b7a8b087182499b8529",
|
|
"amplitudes": 81,
|
|
"norm2": 1073741820
|
|
},
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|
"constants": {
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|
"blake3": "2f4a3854c397f95e152396701355baab1c14f1ba5a735c0d34378fd71b571d72"
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|
},
|
|
"work": 6050,
|
|
"accuracy": {
|
|
"class": "bit-exact",
|
|
"bound": 4.0247800800787827e-7,
|
|
"bound_units": 432.1574704382658,
|
|
"outcomes": 1.6099123560086069e-6,
|
|
"note": "the amplitudes are the same integers on every host; the state is within bound (bound_units at 2^-30) of the ideal state in the 2-norm, each gate's rounding and constants added up as quantum-sim.md §9.4 states, and the counts are drawn from a law within outcomes of the ideal outcome distribution in total variation"
|
|
}
|
|
}
|
|
},
|
|
{
|
|
"name": "ququart-walk",
|
|
"about": "a walk of every gate on 3 ququarts",
|
|
"request": {
|
|
"d": 4,
|
|
"qudits": 3,
|
|
"gates": [
|
|
{
|
|
"gate": "shift",
|
|
"qudits": [
|
|
2
|
|
],
|
|
"power": 3
|
|
},
|
|
{
|
|
"gate": "phase",
|
|
"qudits": [
|
|
1
|
|
],
|
|
"powers": [
|
|
3,
|
|
1,
|
|
1,
|
|
1
|
|
]
|
|
},
|
|
{
|
|
"gate": "clock",
|
|
"qudits": [
|
|
1
|
|
],
|
|
"power": 2
|
|
},
|
|
{
|
|
"gate": "shift",
|
|
"qudits": [
|
|
0
|
|
],
|
|
"power": 2
|
|
},
|
|
{
|
|
"gate": "fourier",
|
|
"qudits": [
|
|
0
|
|
],
|
|
"power": 0
|
|
},
|
|
{
|
|
"gate": "clock",
|
|
"qudits": [
|
|
2
|
|
],
|
|
"power": 2
|
|
},
|
|
{
|
|
"gate": "clock",
|
|
"qudits": [
|
|
0
|
|
],
|
|
"power": 1
|
|
},
|
|
{
|
|
"gate": "shift",
|
|
"qudits": [
|
|
1
|
|
],
|
|
"power": 3
|
|
},
|
|
{
|
|
"gate": "csum",
|
|
"qudits": [
|
|
0,
|
|
2
|
|
],
|
|
"power": 1
|
|
},
|
|
{
|
|
"gate": "phase",
|
|
"qudits": [
|
|
1
|
|
],
|
|
"powers": [
|
|
1,
|
|
3,
|
|
0,
|
|
3
|
|
]
|
|
},
|
|
{
|
|
"gate": "shift",
|
|
"qudits": [
|
|
1
|
|
],
|
|
"power": 1
|
|
},
|
|
{
|
|
"gate": "fourier",
|
|
"qudits": [
|
|
1
|
|
],
|
|
"power": 1
|
|
},
|
|
{
|
|
"gate": "phase",
|
|
"qudits": [
|
|
1
|
|
],
|
|
"powers": [
|
|
1,
|
|
2,
|
|
1,
|
|
1
|
|
]
|
|
},
|
|
{
|
|
"gate": "shift",
|
|
"qudits": [
|
|
1
|
|
],
|
|
"power": 1
|
|
},
|
|
{
|
|
"gate": "clock",
|
|
"qudits": [
|
|
1
|
|
],
|
|
"power": 0
|
|
},
|
|
{
|
|
"gate": "fourier",
|
|
"qudits": [
|
|
1
|
|
],
|
|
"power": 1
|
|
},
|
|
{
|
|
"gate": "clock",
|
|
"qudits": [
|
|
2
|
|
],
|
|
"power": 3
|
|
},
|
|
{
|
|
"gate": "csum",
|
|
"qudits": [
|
|
1,
|
|
2
|
|
],
|
|
"power": 3
|
|
},
|
|
{
|
|
"gate": "csum",
|
|
"qudits": [
|
|
0,
|
|
2
|
|
],
|
|
"power": 3
|
|
},
|
|
{
|
|
"gate": "csum",
|
|
"qudits": [
|
|
0,
|
|
2
|
|
],
|
|
"power": 2
|
|
},
|
|
{
|
|
"gate": "shift",
|
|
"qudits": [
|
|
0
|
|
],
|
|
"power": 0
|
|
},
|
|
{
|
|
"gate": "shift",
|
|
"qudits": [
|
|
0
|
|
],
|
|
"power": 1
|
|
},
|
|
{
|
|
"gate": "clock",
|
|
"qudits": [
|
|
0
|
|
],
|
|
"power": 0
|
|
},
|
|
{
|
|
"gate": "csum",
|
|
"qudits": [
|
|
0,
|
|
2
|
|
],
|
|
"power": 3
|
|
},
|
|
{
|
|
"gate": "csum",
|
|
"qudits": [
|
|
1,
|
|
0
|
|
],
|
|
"power": 0
|
|
},
|
|
{
|
|
"gate": "phase",
|
|
"qudits": [
|
|
2
|
|
],
|
|
"powers": [
|
|
3,
|
|
1,
|
|
3,
|
|
1
|
|
]
|
|
},
|
|
{
|
|
"gate": "csum",
|
|
"qudits": [
|
|
2,
|
|
1
|
|
],
|
|
"power": 2
|
|
},
|
|
{
|
|
"gate": "shift",
|
|
"qudits": [
|
|
1
|
|
],
|
|
"power": 1
|
|
},
|
|
{
|
|
"gate": "clock",
|
|
"qudits": [
|
|
0
|
|
],
|
|
"power": 0
|
|
},
|
|
{
|
|
"gate": "fourier",
|
|
"qudits": [
|
|
2
|
|
],
|
|
"power": 0
|
|
},
|
|
{
|
|
"gate": "csum",
|
|
"qudits": [
|
|
1,
|
|
2
|
|
],
|
|
"power": 0
|
|
},
|
|
{
|
|
"gate": "shift",
|
|
"qudits": [
|
|
2
|
|
],
|
|
"power": 1
|
|
},
|
|
{
|
|
"gate": "phase",
|
|
"qudits": [
|
|
2
|
|
],
|
|
"powers": [
|
|
3,
|
|
3,
|
|
0,
|
|
2
|
|
]
|
|
},
|
|
{
|
|
"gate": "fourier",
|
|
"qudits": [
|
|
1
|
|
],
|
|
"power": 0
|
|
},
|
|
{
|
|
"gate": "fourier",
|
|
"qudits": [
|
|
0
|
|
],
|
|
"power": 0
|
|
},
|
|
{
|
|
"gate": "clock",
|
|
"qudits": [
|
|
2
|
|
],
|
|
"power": 2
|
|
},
|
|
{
|
|
"gate": "phase",
|
|
"qudits": [
|
|
0
|
|
],
|
|
"powers": [
|
|
1,
|
|
3,
|
|
2,
|
|
2
|
|
]
|
|
},
|
|
{
|
|
"gate": "phase",
|
|
"qudits": [
|
|
0
|
|
],
|
|
"powers": [
|
|
3,
|
|
0,
|
|
3,
|
|
0
|
|
]
|
|
},
|
|
{
|
|
"gate": "shift",
|
|
"qudits": [
|
|
1
|
|
],
|
|
"power": 1
|
|
},
|
|
{
|
|
"gate": "fourier",
|
|
"qudits": [
|
|
2
|
|
],
|
|
"power": 0
|
|
}
|
|
],
|
|
"shots": 2000,
|
|
"seed": 3
|
|
},
|
|
"result": {
|
|
"answer": "run",
|
|
"d": 4,
|
|
"qudits": 3,
|
|
"gates": 40,
|
|
"shots": 2000,
|
|
"seed": 3,
|
|
"counts": {
|
|
"123": 1253,
|
|
"233": 252,
|
|
"303": 248,
|
|
"013": 247
|
|
},
|
|
"distinct_outcomes": 4,
|
|
"omitted_shots": 0,
|
|
"outcomes": "each outcome is the qudits' digits, the highest-numbered qudit first",
|
|
"state": {
|
|
"blake3": "f3edb8450248b54f71e060e1f3bab3872c8ffd8ce80094ccab962531c67952d2",
|
|
"amplitudes": 64,
|
|
"norm2": 1073741824
|
|
},
|
|
"constants": {
|
|
"blake3": "0bc240d517a49c6052b02e972d0592f8b21b342c782f8770f845cc88e61045a3"
|
|
},
|
|
"work": 4368,
|
|
"accuracy": {
|
|
"class": "bit-exact",
|
|
"bound": 4.2146848510894035e-8,
|
|
"bound_units": 45.254833995939045,
|
|
"outcomes": 1.6858739759628984e-7,
|
|
"note": "the amplitudes are the same integers on every host; the state is within bound (bound_units at 2^-30) of the ideal state in the 2-norm, each gate's rounding and constants added up as quantum-sim.md §9.4 states, and the counts are drawn from a law within outcomes of the ideal outcome distribution in total variation"
|
|
}
|
|
}
|
|
},
|
|
{
|
|
"name": "six-level-walk",
|
|
"about": "a walk of every gate on 3 qudits of six levels",
|
|
"request": {
|
|
"d": 6,
|
|
"qudits": 3,
|
|
"gates": [
|
|
{
|
|
"gate": "csum",
|
|
"qudits": [
|
|
2,
|
|
1
|
|
],
|
|
"power": 4
|
|
},
|
|
{
|
|
"gate": "clock",
|
|
"qudits": [
|
|
2
|
|
],
|
|
"power": 5
|
|
},
|
|
{
|
|
"gate": "clock",
|
|
"qudits": [
|
|
2
|
|
],
|
|
"power": 2
|
|
},
|
|
{
|
|
"gate": "clock",
|
|
"qudits": [
|
|
1
|
|
],
|
|
"power": 2
|
|
},
|
|
{
|
|
"gate": "fourier",
|
|
"qudits": [
|
|
2
|
|
],
|
|
"power": 0
|
|
},
|
|
{
|
|
"gate": "phase",
|
|
"qudits": [
|
|
1
|
|
],
|
|
"powers": [
|
|
2,
|
|
1,
|
|
0,
|
|
4,
|
|
3,
|
|
4
|
|
]
|
|
},
|
|
{
|
|
"gate": "fourier",
|
|
"qudits": [
|
|
2
|
|
],
|
|
"power": 0
|
|
},
|
|
{
|
|
"gate": "csum",
|
|
"qudits": [
|
|
1,
|
|
2
|
|
],
|
|
"power": 0
|
|
},
|
|
{
|
|
"gate": "phase",
|
|
"qudits": [
|
|
0
|
|
],
|
|
"powers": [
|
|
2,
|
|
2,
|
|
4,
|
|
4,
|
|
2,
|
|
5
|
|
]
|
|
},
|
|
{
|
|
"gate": "csum",
|
|
"qudits": [
|
|
2,
|
|
0
|
|
],
|
|
"power": 2
|
|
},
|
|
{
|
|
"gate": "clock",
|
|
"qudits": [
|
|
0
|
|
],
|
|
"power": 4
|
|
},
|
|
{
|
|
"gate": "clock",
|
|
"qudits": [
|
|
1
|
|
],
|
|
"power": 5
|
|
},
|
|
{
|
|
"gate": "clock",
|
|
"qudits": [
|
|
0
|
|
],
|
|
"power": 4
|
|
},
|
|
{
|
|
"gate": "fourier",
|
|
"qudits": [
|
|
0
|
|
],
|
|
"power": 1
|
|
},
|
|
{
|
|
"gate": "csum",
|
|
"qudits": [
|
|
1,
|
|
0
|
|
],
|
|
"power": 5
|
|
},
|
|
{
|
|
"gate": "clock",
|
|
"qudits": [
|
|
0
|
|
],
|
|
"power": 0
|
|
},
|
|
{
|
|
"gate": "phase",
|
|
"qudits": [
|
|
0
|
|
],
|
|
"powers": [
|
|
0,
|
|
5,
|
|
2,
|
|
1,
|
|
4,
|
|
2
|
|
]
|
|
},
|
|
{
|
|
"gate": "clock",
|
|
"qudits": [
|
|
1
|
|
],
|
|
"power": 2
|
|
},
|
|
{
|
|
"gate": "clock",
|
|
"qudits": [
|
|
0
|
|
],
|
|
"power": 5
|
|
},
|
|
{
|
|
"gate": "clock",
|
|
"qudits": [
|
|
1
|
|
],
|
|
"power": 5
|
|
},
|
|
{
|
|
"gate": "csum",
|
|
"qudits": [
|
|
2,
|
|
1
|
|
],
|
|
"power": 5
|
|
},
|
|
{
|
|
"gate": "phase",
|
|
"qudits": [
|
|
2
|
|
],
|
|
"powers": [
|
|
2,
|
|
0,
|
|
5,
|
|
2,
|
|
0,
|
|
2
|
|
]
|
|
},
|
|
{
|
|
"gate": "phase",
|
|
"qudits": [
|
|
0
|
|
],
|
|
"powers": [
|
|
3,
|
|
5,
|
|
5,
|
|
1,
|
|
4,
|
|
5
|
|
]
|
|
},
|
|
{
|
|
"gate": "clock",
|
|
"qudits": [
|
|
2
|
|
],
|
|
"power": 4
|
|
},
|
|
{
|
|
"gate": "clock",
|
|
"qudits": [
|
|
1
|
|
],
|
|
"power": 0
|
|
},
|
|
{
|
|
"gate": "clock",
|
|
"qudits": [
|
|
1
|
|
],
|
|
"power": 5
|
|
},
|
|
{
|
|
"gate": "csum",
|
|
"qudits": [
|
|
2,
|
|
0
|
|
],
|
|
"power": 2
|
|
},
|
|
{
|
|
"gate": "clock",
|
|
"qudits": [
|
|
0
|
|
],
|
|
"power": 1
|
|
},
|
|
{
|
|
"gate": "shift",
|
|
"qudits": [
|
|
1
|
|
],
|
|
"power": 3
|
|
},
|
|
{
|
|
"gate": "csum",
|
|
"qudits": [
|
|
0,
|
|
1
|
|
],
|
|
"power": 1
|
|
},
|
|
{
|
|
"gate": "fourier",
|
|
"qudits": [
|
|
0
|
|
],
|
|
"power": 2
|
|
},
|
|
{
|
|
"gate": "shift",
|
|
"qudits": [
|
|
1
|
|
],
|
|
"power": 2
|
|
},
|
|
{
|
|
"gate": "shift",
|
|
"qudits": [
|
|
2
|
|
],
|
|
"power": 0
|
|
},
|
|
{
|
|
"gate": "csum",
|
|
"qudits": [
|
|
0,
|
|
1
|
|
],
|
|
"power": 0
|
|
},
|
|
{
|
|
"gate": "phase",
|
|
"qudits": [
|
|
2
|
|
],
|
|
"powers": [
|
|
4,
|
|
4,
|
|
1,
|
|
1,
|
|
1,
|
|
0
|
|
]
|
|
},
|
|
{
|
|
"gate": "clock",
|
|
"qudits": [
|
|
2
|
|
],
|
|
"power": 1
|
|
},
|
|
{
|
|
"gate": "clock",
|
|
"qudits": [
|
|
1
|
|
],
|
|
"power": 5
|
|
},
|
|
{
|
|
"gate": "phase",
|
|
"qudits": [
|
|
0
|
|
],
|
|
"powers": [
|
|
5,
|
|
4,
|
|
1,
|
|
5,
|
|
1,
|
|
0
|
|
]
|
|
},
|
|
{
|
|
"gate": "csum",
|
|
"qudits": [
|
|
2,
|
|
1
|
|
],
|
|
"power": 4
|
|
},
|
|
{
|
|
"gate": "shift",
|
|
"qudits": [
|
|
2
|
|
],
|
|
"power": 1
|
|
}
|
|
],
|
|
"shots": 2000,
|
|
"seed": 4
|
|
},
|
|
"result": {
|
|
"answer": "run",
|
|
"d": 6,
|
|
"qudits": 3,
|
|
"gates": 40,
|
|
"shots": 2000,
|
|
"seed": 4,
|
|
"counts": {
|
|
"105": 346,
|
|
"132": 346,
|
|
"150": 345,
|
|
"114": 341,
|
|
"141": 320,
|
|
"123": 302
|
|
},
|
|
"distinct_outcomes": 6,
|
|
"omitted_shots": 0,
|
|
"outcomes": "each outcome is the qudits' digits, the highest-numbered qudit first",
|
|
"state": {
|
|
"blake3": "de1329ef361843d75e9536dfc9d9f8d8c826116f8b54d6f691df19db2ae9511c",
|
|
"amplitudes": 216,
|
|
"norm2": 1073741829
|
|
},
|
|
"constants": {
|
|
"blake3": "15f24f2b6546ea838e9360b122e4172c4574097c6fabc61cea0980c920596715"
|
|
},
|
|
"work": 10640,
|
|
"accuracy": {
|
|
"class": "bit-exact",
|
|
"bound": 5.164234028580268e-7,
|
|
"bound_units": 554.5054065410645,
|
|
"outcomes": 2.0656941448183693e-6,
|
|
"note": "the amplitudes are the same integers on every host; the state is within bound (bound_units at 2^-30) of the ideal state in the 2-norm, each gate's rounding and constants added up as quantum-sim.md §9.4 states, and the counts are drawn from a law within outcomes of the ideal outcome distribution in total variation"
|
|
}
|
|
}
|
|
},
|
|
{
|
|
"name": "qubit-wide",
|
|
"about": "14 qubits spread over every outcome",
|
|
"request": {
|
|
"d": 2,
|
|
"qudits": 14,
|
|
"gates": [
|
|
{
|
|
"gate": "fourier",
|
|
"qudits": [
|
|
0
|
|
]
|
|
},
|
|
{
|
|
"gate": "fourier",
|
|
"qudits": [
|
|
1
|
|
]
|
|
},
|
|
{
|
|
"gate": "fourier",
|
|
"qudits": [
|
|
2
|
|
]
|
|
},
|
|
{
|
|
"gate": "fourier",
|
|
"qudits": [
|
|
3
|
|
]
|
|
},
|
|
{
|
|
"gate": "fourier",
|
|
"qudits": [
|
|
4
|
|
]
|
|
},
|
|
{
|
|
"gate": "fourier",
|
|
"qudits": [
|
|
5
|
|
]
|
|
},
|
|
{
|
|
"gate": "fourier",
|
|
"qudits": [
|
|
6
|
|
]
|
|
},
|
|
{
|
|
"gate": "fourier",
|
|
"qudits": [
|
|
7
|
|
]
|
|
},
|
|
{
|
|
"gate": "fourier",
|
|
"qudits": [
|
|
8
|
|
]
|
|
},
|
|
{
|
|
"gate": "fourier",
|
|
"qudits": [
|
|
9
|
|
]
|
|
},
|
|
{
|
|
"gate": "fourier",
|
|
"qudits": [
|
|
10
|
|
]
|
|
},
|
|
{
|
|
"gate": "fourier",
|
|
"qudits": [
|
|
11
|
|
]
|
|
},
|
|
{
|
|
"gate": "fourier",
|
|
"qudits": [
|
|
12
|
|
]
|
|
},
|
|
{
|
|
"gate": "fourier",
|
|
"qudits": [
|
|
13
|
|
]
|
|
},
|
|
{
|
|
"gate": "csum",
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"omitted_shots": 0,
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"outcomes": "each outcome is the qudits' digits, the highest-numbered qudit first",
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"state": {
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"blake3": "3d5073e1f8bb4b9dc33b42332b27f021d14fcfa6f50343a929ddd4817ce1c150",
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"amplitudes": 16384,
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"norm2": 1073741824
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},
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"constants": {
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"blake3": "fa5e6bc7fe53b14b4e5917caeb9b8028ae316c7f619bdd5c292565c9360b9dbf"
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},
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"work": 819500,
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"accuracy": {
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"class": "bit-exact",
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"bound": 2.3732620470214544e-6,
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"bound_units": 2548.27071919879,
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"outcomes": 9.493059452831305e-6,
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|
"note": "the amplitudes are the same integers on every host; the state is within bound (bound_units at 2^-30) of the ideal state in the 2-norm, each gate's rounding and constants added up as quantum-sim.md §9.4 states, and the counts are drawn from a law within outcomes of the ideal outcome distribution in total variation"
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}
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}
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},
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|
{
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"name": "qutrit-wide",
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"about": "8 qutrits spread over every outcome",
|
|
"request": {
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|
"d": 3,
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|
"qudits": 8,
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|
"gates": [
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{
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"gate": "fourier",
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0
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]
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},
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{
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|
"gate": "fourier",
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1
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]
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},
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|
{
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"gate": "fourier",
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"qudits": [
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2
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]
|
|
},
|
|
{
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"gate": "fourier",
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"qudits": [
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3
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]
|
|
},
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{
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"gate": "fourier",
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"qudits": [
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4
|
|
]
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|
},
|
|
{
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|
"gate": "fourier",
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|
"qudits": [
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5
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]
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},
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{
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"gate": "fourier",
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|
"qudits": [
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6
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|
]
|
|
},
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{
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|
"gate": "fourier",
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"outcomes": "each outcome is the qudits' digits, the highest-numbered qudit first",
|
|
"state": {
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"blake3": "a11e9e134bd9c35798905574a500c626ffefd41b4941be6674510681be36e6b1",
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"amplitudes": 6561,
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"norm2": 1073741845
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},
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"blake3": "2f4a3854c397f95e152396701355baab1c14f1ba5a735c0d34378fd71b571d72"
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},
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"work": 256179,
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"accuracy": {
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"class": "bit-exact",
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"bound": 2.359159832455037e-6,
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"bound_units": 2533.1285816078057,
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"outcomes": 9.436650461090378e-6,
|
|
"note": "the amplitudes are the same integers on every host; the state is within bound (bound_units at 2^-30) of the ideal state in the 2-norm, each gate's rounding and constants added up as quantum-sim.md §9.4 states, and the counts are drawn from a law within outcomes of the ideal outcome distribution in total variation"
|
|
}
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|
}
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|
},
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|
{
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|
"name": "ququart-wide",
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|
"about": "7 ququarts spread over every outcome",
|
|
"request": {
|
|
"d": 4,
|
|
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|
|
"gates": [
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|
{
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|
"gate": "fourier",
|
|
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|
0
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|
]
|
|
},
|
|
{
|
|
"gate": "fourier",
|
|
"qudits": [
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|
1
|
|
]
|
|
},
|
|
{
|
|
"gate": "fourier",
|
|
"qudits": [
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|
2
|
|
]
|
|
},
|
|
{
|
|
"gate": "fourier",
|
|
"qudits": [
|
|
3
|
|
]
|
|
},
|
|
{
|
|
"gate": "fourier",
|
|
"qudits": [
|
|
4
|
|
]
|
|
},
|
|
{
|
|
"gate": "fourier",
|
|
"qudits": [
|
|
5
|
|
]
|
|
},
|
|
{
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|
"gate": "fourier",
|
|
"qudits": [
|
|
6
|
|
]
|
|
},
|
|
{
|
|
"gate": "csum",
|
|
"qudits": [
|
|
0,
|
|
1
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|
]
|
|
},
|
|
{
|
|
"gate": "csum",
|
|
"qudits": [
|
|
1,
|
|
2
|
|
]
|
|
},
|
|
{
|
|
"gate": "csum",
|
|
"qudits": [
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|
2,
|
|
3
|
|
]
|
|
},
|
|
{
|
|
"gate": "csum",
|
|
"qudits": [
|
|
3,
|
|
4
|
|
]
|
|
},
|
|
{
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|
"gate": "csum",
|
|
"qudits": [
|
|
4,
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|
5
|
|
]
|
|
},
|
|
{
|
|
"gate": "csum",
|
|
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|
5,
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6
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|
]
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|
},
|
|
{
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"gate": "shift",
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|
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5
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|
],
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|
"power": 1
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{
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"gate": "clock",
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|
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|
],
|
|
"power": 0
|
|
},
|
|
{
|
|
"gate": "clock",
|
|
"qudits": [
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|
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|
],
|
|
"power": 3
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|
},
|
|
{
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|
"gate": "fourier",
|
|
"qudits": [
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|
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|
|
],
|
|
"power": 3
|
|
},
|
|
{
|
|
"gate": "clock",
|
|
"qudits": [
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|
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|
|
],
|
|
"power": 1
|
|
},
|
|
{
|
|
"gate": "csum",
|
|
"qudits": [
|
|
4,
|
|
2
|
|
],
|
|
"power": 3
|
|
},
|
|
{
|
|
"gate": "shift",
|
|
"qudits": [
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|
3
|
|
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|
|
"power": 2
|
|
},
|
|
{
|
|
"gate": "fourier",
|
|
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}
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{
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{
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{
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}
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|
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|
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|
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|
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}
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