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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Double local quenches in 2D CFTs and gravitational force
Pawel Caputa,Tokiro Numasawa,Tokiro Numasawa,Teppei Shimaji,Tadashi Takayanagi,Tadashi Takayanagi,Zixia Wei +6 more
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Query complexity and cutoff dependence of the CFT 2 ground state
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The Multi-faceted Inverted Harmonic Oscillator: Chaos and Complexity
TL;DR: In this paper, the inverted harmonic oscillator (IHO) was investigated with quantum chaos diagnostics such as the out-of-time-order correlator (OTOC) and circuit complexity.
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Evolution of complexity following a quantum quench in free field theory
TL;DR: In this article, the authors compute the time evolution of the complexity following a smooth mass quench characterized by a time scale δ t$ in a free scalar field theory, and show that the dynamics has two distinct phases, an early regime of approximately linear evolution followed by a saturation phase characterized by oscillations around a mean value.
References
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