2016
DOI: 10.1103/physrevlett.116.191301
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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… Show more

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Cited by 746 publications
(1,284 citation statements)
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References 34 publications
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“…It was also shown in [5,6] that for the Einstein-Hilbert action, AdS black holes saturate the bound (1.1).…”
Section: Jhep01(2018)127mentioning
confidence: 87%
See 4 more Smart Citations
“…It was also shown in [5,6] that for the Einstein-Hilbert action, AdS black holes saturate the bound (1.1).…”
Section: Jhep01(2018)127mentioning
confidence: 87%
“…On this spacetime one can define the Wheeler-DeWitt patch, shown in figure 1. The patch is anchored at boundary times t L and t R , and the proposal of [5,6] equates the complexity of the thermofield dual state |ψ(t L , t r ) with the action evaluated on the Wheeler-DeWitt patch S WdW :…”
Section: Jhep01(2018)127mentioning
confidence: 99%
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