Manuscript OpenAI@2026-10-07 · OpenAI.tex · remark · 6a931f8f
Remark: 279-01. Exact quantum factoring over a fixed finite gate set
Manuscript map · lines 8025–8034
OpenAI@2026-10-07#rem:oai-p-279-01
Authors: OpenAI. Family 279.
Title: Exact quantum factoring over a fixed finite gate set.
Abstract: We give a polynomial-time uniform quantum circuit family that outputs the complete prime factorization of every integer N ≥ 2 with probability one. A fixed finite set of bounded-arity gates suffices, and both the gate count and the number of qubits have polynomial worst-case bounds in the input length.
This abstract is a catalogue record. It is not a verification and not a premise. It does not close O.1. O.1 stays NOT_CLOSED. No quantum coefficient is admitted. No compilation is asserted.
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