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0.3.11 left H on the general path, which made it the slowest thing in the simulator and, after CX, the most common gate there is. Its matrix is all real (±1/√2), and a complex multiply by a real scalar is two fxmuls rather than four and a subtract, because the imaginary cross terms are fxmul(0, x) — exactly zero in this fixed point, not nearly zero. Same products, same order, half the multiplies. Interleaved best-of-five at 20 qubits, against the pre-optimisation code: Z 8.9x X 7.1x CZ 4.6x CX 4.3x T 3.4x S 3.1x Y 1.9x H 1.8x Every gate now faster than where this started, none slower. The oracle test that guards all of this compares 300 random circuits amplitude by amplitude, and H is well represented in them, so the new path is checked rather than argued. Co-Authored-By: Claude Opus 5 <[email protected]> |
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