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A gap between holographic and quantum mechanical extreme rays of the subadditivity cone

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arxiv 2307.10137 v1 pith:BTGHEJP4 submitted 2023-07-19 hep-th quant-ph

classification hep-thquant-ph
keywords holographicquantumconeextrememechanicalraysstatessubadditivity
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We show via explicit construction that for six or more parties, there exist extreme rays of the subadditivity cone that can be realized by quantum states, but not by holographic states. This is a counterexample to a conjecture first formulated in arXiv:2204.00075, and implies the existence of deep holographic constraints that restrict the allowed patterns of independence among various subsystems beyond the universal quantum mechanical restrictions.

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  1. Algorithmic construction of SSA-compatible extreme rays of the subadditivity cone and the ${\sf N}=6$ solution

    quant-ph 2024-12 conditional novelty 8.0 of 10

    Complete classification of SSA-compatible extreme rays of the six-party subadditivity cone, with 150 holographic graph realizations and 52 confirmed non-holographic orbits.

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