Holographic Complexity Equals Bulk Action
TLDR
The hypothesis that black holes are the fastest computers in nature is discussed and the conjecture that the quantum complexity of a holographic state is dual to the action of a certain spacetime region that is called a Wheeler-DeWitt patch is illustrated.Abstract:
We conjecture that the quantum complexity of a holographic state is dual to the action of a certain spacetime region that we call a Wheeler-DeWitt patch. We illustrate and test the conjecture in the context of neutral, charged, and rotating black holes in anti-de Sitter spacetime, as well as black holes perturbed with static shells and with shock waves. This conjecture evolved from a previous conjecture that complexity is dual to spatial volume, but appears to be a major improvement over the original. In light of our results, we discuss the hypothesis that black holes are the fastest computers in nature.read more
Citations
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Evolution of Holographic Complexity Near Critical Point.
TL;DR: In this paper, the complexity rate and saturation time of dynamical variables in dual field theory have been analyzed and it has been shown that it takes more time for the complexity in field theory dual to become time dependent as one moves away from the critical point and near the critical points the complexity starts evolving linearly in time sooner than the other points away from it.
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Spacetime as the optimal generative network of quantum states: a roadmap to QM=GR?
Xiao Dong,Ling Zhou +1 more
TL;DR: In this paper, the authors proposed a deep learning-based mechanism for Susskind's QM=GR hypothesis, which is based on the optimal generative network of quantum states.
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Holographic measurement and bulk teleportation
TL;DR: In this article , the effects of local projective measurement on the entanglement structure of the boundary theory of the HaPPY code and random tensor networks have been investigated.
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Some Aspects of Holographic Entanglement of Purification
TL;DR: In this article, the minimal area of the entanglement wedge cross section (EWCS) in Einstein gravity was examined and it was shown that it obeys the area law even in the finite temperature.
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On the first law of holographic complexity
TL;DR: In this article, the first law of holographic complexity was examined by studying different perturbations around various spacetime backgrounds, and a general expression for the variation of the complexity on arbitrary backgrounds by an explicit covariant computation was given.
References
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