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A fault-tolerant machine must decode each syndrome round before the next arrives. Exact matching (quantum_match) is the accuracy reference; quantum_uf is the fast decoder over the same matching graph: - Grow: every fired detector starts a cluster; odd clusters (not on the boundary) grow all frontier edges at once, on the graph's integer weights, an edge between two growing clusters at double speed. - Merge: a filled edge joins its clusters; a cluster on the boundary stops. - Peel: each cluster's filled edges as a spanning tree, rooted at the boundary when it holds it, peeled leaves-first into a correction. - Growth is event-driven: each frontier edge carries a fill time, and a merge reschedules only the frontier of a side whose growth changed. Fill times never run backwards, so events sit in a radix heap at amortised O(1). Profiling put 45% of the time in a binary heap before; the radix heap halved the time per shot at d = 21. Time now grows linearly with fired detectors, about 1.1-1.5 us each from d = 9 to d = 21. - A reusable workspace resets in time proportional to the last shot. Checked: - every single edge of d = 3 and d = 5 graphs is corrected exactly; - the event-driven schedule agrees with a round-by-round one (kept in the tests) on 2,000 shots at each of three distances, up to tie order; - on the same 20,000 shots, union-find fails 0.92-1.18x as often as exact matching (d = 3-9, p = 0.003-0.007), 77x faster at d = 11; its threshold sits a little lower (at p = 0.007 its failures stop falling with distance). CLI: wai-quantum qec --decoder uf|exact. Example: uf_bench. Pinned bit for bit natively and under wasm32-wasip2 (17 pins); CLI output byte-identical. Co-Authored-By: Claude Opus 5.5 <[email protected]> |
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| .. | ||
| arch_factoring.rs | ||
| bell.rs | ||
| gbs_check.rs | ||
| ldpc_memory.rs | ||
| qec_frame.rs | ||
| qec_threshold.rs | ||
| qio_gset.rs | ||
| receipt.rs | ||
| sv_run.rs | ||
| threshold.rs | ||
| tn_path.rs | ||
| uf_bench.rs | ||
| utility.rs | ||
| utility_bptn.rs | ||
| utility_mz.rs | ||