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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Complexity functionals and complexity growth limits in continuous MERA circuits
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Holographic complexity growth rate in Horndeski theory
TL;DR: In this paper, the holographic complexity of AdS black holes with planar and spherical topologies in Horndeski theory was calculated based on the complexity = action conjecture.
Posted Content
Linear growth of quantum circuit complexity
Olga Lucía Torres Vargas,Jonas Haferkamp,Philippe Faist,Naga B. T. Kothakonda,Jens Eisert,Nicole Yunger Halpern +5 more
TL;DR: In this article, it was shown that the complexity of a unitary quantum circuit grows linearly in the number of random gates, with unit probability, until saturating after exponentially many random gates.
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Holographic subregion complexity in Einstein-Born-Infeld theory
TL;DR: In this paper, the subregion complexity can be treated as a probe to explore the interior of the black hole and the effects of the nonlinear parameter and the charge on the evolution of the holographic sub-region complexity are investigated.
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Holographic complexity of local quench at finite temperature
TL;DR: It is shown, that finite temperature leads to violation of the Lloyd bound for CA complexity and that for composite system after the local quench the state with minimal entanglement may correspond to the maximal complexity.
References
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