Coherence Quality Factor

The Coherence Quality Factor is the number of gate operations a quantum system can perform within its coherence window, required by BPT to be at least 10⁴. It is one of the book's quantitative performance criteria for a quantum computational substrate. The Operational Coherence Time must already exceed substrate pulse timing by a factor of 1000 for recursive operations to stay stable across cycles; the quality factor adds that gates must be repeatable many times within that window, which complex recursive algorithms need. The book then benchmarks current platforms against these PulseCore requirements and finds substantial gaps in scale, coherence time, gate fidelity and throughput. The formal statement is Q≋ = T_op/t⊡⊶ ≥ 10⁴, where Q≋ is the Coherence Quality Factor, T_op the operational coherence time and t⊡⊶ the gate operation time. Dimensions: Q≋ [∅], T_op and t⊡⊶ [𝕋], 10⁴ [∅]; the book's check is valid and verified. It connects to the Operational Coherence Time, Effective Qubit Count, PulseCore Qubit Validation and Coherence Factor.