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
More filters
Journal ArticleDOI
Holographic complexity in charged supersymmetric black holes
Jie Jiang,Ming Zhang +1 more
TL;DR: In this article, the influence of the chiral anomaly on the complexity of the boundary quantum system has been studied and it has been shown that the late-time growth rate of the holographic complexity is given by a difference between the value of ${\mathrm{\ensuremath{\Phi}}}_{H}Q+{mathrm{ensureMath{\Omega}}}_{J}J$ on the inner and outer horizons.
Entanglement and defect entropies in gauge/gravity duality
TL;DR: In this article, the authors investigated and used geometrical prescriptions for the calculation of entanglement entropy in field theories that have a gravity dual according to gauge/gravity duality.
Posted Content
(k)-Local Microscopic Diffusion at SYK
TL;DR: In this paper, a rate equation for the dynamics of the k-state probabilities in embedded random ensembles is derived based on unitarity through detailed balance, and a series of short and long time scales controlling the out of equilibrium dynamics of this model is presented.
Posted Content
Circuit Complexity From Supersymmetric Quantum Field Theory With Morse Function.
TL;DR: The relationship between the circuit complexity and Morse theory within the framework of algebraic topology has been studied in this article, where the Hessian of the Morse function in supersymmetric quantum field theory has been analyzed.
Journal ArticleDOI
Holographic fluctuations and the principle of minimal complexity
TL;DR: In this article, the idea that the informational principle of minimal complexity determines a dual holographic bulk spacetime from a minimal quantum circuit U preparing a given boundary state from a trivial reference state is discussed.
References
More filters
Journal ArticleDOI
The world as a hologram
TL;DR: In this article, the effects of particle growth with momentum on information spreading near black hole horizons were investigated. But the authors only considered the earliest times of the propagation of information near the horizon.
Journal ArticleDOI
A bound on chaos
TL;DR: In this paper, a sharp bound on the rate of growth of chaos in thermal quantum systems with a large number of degrees of freedom is given, based on plausible physical assumptions, establishing this conjecture.
Journal ArticleDOI
Black holes and the butterfly effect
TL;DR: In this article, the authors used holography to study sensitive dependence on initial conditions in strongly coupled field theories and showed that the effect of the early infalling quanta relative to the t = 0 slice creates a shock wave that destroys the local two-sided correlations present in the unperturbed state.
Journal ArticleDOI
The String landscape, black holes and gravity as the weakest force
TL;DR: In this paper, an upper bound on the strength of gravity relative to gauge forces in quantum gravity was given, motivated by arguments involving holography and absence of remnants, the stability of black holes as well as the non-existence of global symmetries in string theory.
Dimensional reduction in quantum gravity
TL;DR: In this article, Abdus Salam argued that the observable degrees of freedom can best be described as if they were Boolean variables defined on a two-dimensional lattice, evolving with time.