Jan 14 Michael Walter. "The holographic entropy cone." (Part 1)
Автор: Iqst Ucalgary
Загружено: 2016-03-02
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QIP 2016, Banff, 10-16 January 2016
Date: January 14, 2016, Parallel Session B
Title: The holographic entropy cone.
Authors: Ning Bao, Sepehr Nezami, Hirosi Ooguri, Bogdan Stoica, James Sully and Michael Walter.
Abstract: In this work, we study the entropies of holographic quantum systems (that is, states of strongly coupled quantum field theories that admit a dual gravitational description). We show that, surprisingly, the study of holographic entropies can be reduced to combinatorics: an entropy inequality is valid for holographic systems if and only if it holds for the min-cuts in an arbitrary graph. We discuss several consequences, one of which is a purely combinatorial proof technique that allows us to obtain an infinite family of new holographic entropy inequalities, generalizing the previously known ones. By systematically studying the holographic entropy cone, which parametrizes the region of allowed entropies, we also obtain new insights into the relationship between entropies in holographic systems and other quantum mechanical systems.
http://arxiv.org/abs/1505.07839
Slides: https://web.stanford.edu/~waltemic/ho...
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