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

• URL: http://arxiv.org/abs/2307.10137v1
• Date: Wed, 19 Jul 2023 17:03:06 GMT
• Title: A gap between holographic and quantum mechanical extreme rays of the subadditivity cone
• Authors: Temple He, Veronika E. Hubeny, Massimiliano Rota
• Abstract summary: We show 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.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: 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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