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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Signature of quantum chaos in operator entanglement in 2d CFTs
TL;DR: In this article, the authors compared three different CFTs: the free fermion theory, compactified free boson theory at various radii, and CFT with holographic dual.
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Holographic complexity in charged Vaidya black hole
TL;DR: In this paper, the authors use the complexity equals action conjecture to discuss the growth rate of the complexity in a charged AdS-Vaidya black hole formed by collapsing an uncharged spherically symmetric thin shell of null fluid.
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Null boundary terms for Lanczos–Lovelock gravity
TL;DR: In this article, boundary terms appropriate for the general Lanczos-lovelock action on a null boundary, when Dirichlet boundary conditions are imposed, were derived for the first time in the literature.
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Thermodynamic information geometry and complexity growth of a warped AdS black hole and the warped AdS$_3$/CFT$_2$ correspondence
TL;DR: In this article, the authors study the thermodynamic properties of a warped AdS3 black hole within the framework of thermodynamic information geometry, and find the set of proper thermodynamic Riemannian metrics on the space of equilibrium states, together with the conditions for local and global thermodynamic stability.
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Does Boundary Distinguish Complexities
Yoshiki Sato,Kento Watanabe +1 more
TL;DR: In this article, the complexity of quantum states in conformal field theory with boundary was studied and it was shown that boundary does not distinguish the complexities in general, whereas the complexity for defects distinguish action from volume.
References
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