Manuscript OpenAI@2026-10-07 · OpenAI.tex · remark · 6a931f8f
Remark: 238-09. Compatibility entropy and the spectrum of a Thorp sweep
Manuscript map · lines 7145–7154
OpenAI@2026-10-07#rem:oai-p-238-09
Authors: OpenAI. Family 238.
Title: Compatibility entropy and the spectrum of a Thorp sweep.
Abstract: We prove that the Thorp shuffle on $n=2{}d$ cards mixes in ${}Theta(d)$ physical shuffles. After a sufficiently large fixed number of coordinate sweeps, the total-variation distance of the full permutation from uniform tends to zero as $d{}to{}infty$.
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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