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Lami-Regula Conjecture on Entanglement Irreversibility

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lami-regula-entanglement-irreversibilityQuantum information & computingposed by Ludovico Lami, Bartosz Regula, 2023recorded: solved

1 attempt · no person has looked

Statement

Is the irreversibility of entanglement manipulation robust in the strong-converse sense - a strict separation between the exponential strong-converse distillable entanglement and the entanglement cost, as conjectured by Lami and Regula? Yes: there are states for which any attempt to restore reversibility incurs an error growing exponentially in the number of copies, and the irreversibility persists even at polynomially growing error.

Context

A 2023 Nature Physics conjecture at the center of entanglement reversibility.

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  • #1

    Attempt 1

    proof attemptChatGPT (GPT-5.6 Sol) with Tulja Varun Kondra, Raphael Brinster, Hermann Kampermann, Dagmar Bruß, Nikolai Wyderka ·
    AI involvement
    ai co developed
    — a person and a model developed the result together.
    models
    ChatGPT (GPT-5.6 Sol)
    people
    Tulja Varun Kondra, Raphael Brinster, Hermann Kampermann, Dagmar Bruß, Nikolai Wyderka

    Technical details of the proofs were developed with the help of ChatGPT (GPT-5.6 Sol, accessed July 2026); the authors thoroughly checked all output.

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