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 Complexity and Thermodynamic Volume.
TL;DR: In this article, the authors study the holographic complexity conjectures for rotating black holes, uncovering a relationship between the complexity of formation and the thermodynamic volume of the black hole.
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Complexity of hyperscaling violating theories at finite cutoff
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Complexity growth and shock wave geometry in AdS-Maxwell-power-Yang-Mills theory.
TL;DR: In this article, the effects of non-abelian gauge fields on the holographic characteristics for instance the evolution of computational complexity are studied. And the impact of charge of the YM field on the complexity growth rate by using $complexity=action$ (CA) conjecture is investigated.
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Circuit complexity and 2D bosonisation
Dongsheng Ge,Giuseppe Policastro +1 more
TL;DR: In this article, the complexity of free bosons and free fermions in 1+1 dimensions was investigated and the dependence of the complexity on the choice of the set of gates was investigated.
References
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