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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Holographic Entanglement of Purification from Conformal Field Theories
TL;DR: In this paper, a conformal field theoretic interpretation of the holographic entanglement of purification is proposed, which is defined as the minimal area of the Entanglement wedge cross section.
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Holographic studies of Einsteinian cubic gravity
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Path-Integral Complexity for Perturbed CFTs
Arpan Bhattacharyya,Pawel Caputa,Sumit R. Das,Nilay Kundu,Masamichi Miyaji,Tadashi Takayanagi,Tadashi Takayanagi +6 more
TL;DR: A path-integral optimization for two dimensional conformal field theories perturbed by relevant operators based on calculations in free field theories as well as general arguments of RG flows in field theories is formulated.
Journal ArticleDOI
Holographic complexity for defects distinguishes action from volume
TL;DR: In this paper, two holographic complexity proposals for the case of a 2D boundary CFT with a conformal defect were explored and the results showed that the complexity of the reduced density matrix for subregions enclosing the defect is not influenced by the presence of the defect.
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Holographic Complexity And Cosmological Singularities
TL;DR: In this article, the evolution of holographic complexity in various AdS/CFT models containing cosmological singularities was studied, and it was shown that a notion of complexity measured by extremal bulk volumes tends to decrease as the singularity is approached in CFT time.
References
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