wai-quantum 0.3.29: the architecture around the code, priced, and the 2025 factoring machine re-run #148

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2026-10-04

Transaction Science

wai-quantum 0.3.29: the architecture around the code, priced, and the 2025 factoring machine re-run ...

quantum_arch prices what has cut projected fault-tolerant cost since 2023
without a better qubit:

- Yoked storage (arXiv:2312.04522): plain, row-yoked and grid-yoked patches,
  cold and hot, under the published path-counting fits (SI1000, uniform,
  and the refit used by arXiv:2505.15917). The layout search matches the
  source's own footprint tool on all 915 layouts it produces (three fit sets,
  61 targets, five storage kinds): distance, block shape, check period and
  qubits per logical qubit.
- Whole-block storage plans: copies of one shape plus one remainder block,
  capped at the block sizes the fits were drawn from.
- Magic-state cultivation (arXiv:2409.17595), read off the published
  end-to-end curves (Apache-2.0 data), interpolated log-linearly; refuses
  unsimulated noise strengths.
- 8T-to-CCZ factories and a clock set by the slowest of lattice surgery, the
  CCZ supply and the control loop; it says which one binds.
- The factoring workload of arXiv:2505.15917: its operation tallies, logical
  qubits and Toffoli counts. Under the source's counting rule the counts match
  its reference implementation to its rounding of half operations, for every
  tabulated key size (1024 to 8192 bits).

Re-running the 2048-bit estimate reproduces its 897,864 qubits from its
layout and its 429.03 qubits per cold logical qubit from its fit. It also
finds six places where the source disagrees with itself:
- its tallies at its stated durations give 10.62 h per shot, not 12.07 h;
- its hot-storage count (131) sits below its own peak formula (152);
- its reference counting code prices a 6-bit phaseup at 0.25 Toffolis, not
  8 (+1.7%);
- loop 4's table swaps additions and lookups relative to its code;
- its 30,000 qubit-rounds per 10^-7 T state is 22,600 in the data behind the
  figure;
- 1280 cold qubits need seven whole blocks (582,624 qubits), not 550,400.
With every correction the machine is 958,480 qubits and 4.3 days: the
conclusion holds.

CLI: wai-quantum arch factoring|storage|cultivate [--json]. Example:
arch_factoring. Pinned bit for bit natively and under wasm32-wasip2; CLI
output byte-identical across the two.

Co-Authored-By: Claude Opus 5.5 <[email protected]>

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