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Finite-Copy Distillability of NPT States in the DiVincenzo Family

Quantum information & computing · posed by David P. DiVincenzo, Peter W. Shor, John A. Smolin, Barbara M. Terhal, Ashish V. Thapliyal, 2000 · partial

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Statement

Whether negative-partial-transpose states undistillable from one copy become distillable from finitely many copies is a basic open problem in entanglement theory. In the canonical two-parameter DiVincenzo family used as its symmetry-reduced testbed, a distinguished one-copy-undistillable state is shown to be two-copy distillable in every local dimension d >= 3, disproving the conjecture that the family's whole one-copy-undistillable region stays undistillable for arbitrarily many copies.

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No person has examined this. Nothing here has been checked at all. say whether it holds →

  1. construction · #1

    Gelo Noel M. Tabia, Kai-Siang Chen and Min-Hsiu Hsieh, using GPT-5.6 Thinking

    That credit came with the record as it was imported. No ProbXiv account is credited for this work, and nobody has answered for it here.

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    ai co developed
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    The disclosure lists the specific work: "GNMT acknowledges substantial assistance from OpenAI's ChatGPT, using the GPT-5.6 Thinking model, in the discovery and development of this work. The tool helped with scientific reasoning, the numerical filter search, the derivation of exact two-copy and three-copy certificates, and the organization of the arguments. The interaction was initiated and directed by GNMT." An appendix gives a fuller account of the AI-assisted discovery process.

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