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
Path integral optimization from Hartle-Hawking wave function
TL;DR: Caputa et al. as discussed by the authors proposed a gravity dual description of the path integral optimization in conformal field theories using Hartle-Hawking wave functions in anti-de Sitter spacetime.
Journal ArticleDOI
Aspects of The First Law of Complexity.
TL;DR: In this paper, the authors apply the first law of complexity to quantum circuits and complexity models underlying holographic complexity, and examine the variations of circuit complexity produced by the same excitations for the free scalar field theory in a fixed AdS background.
Journal ArticleDOI
Fast scrambling in holographic Einstein-Podolsky-Rosen pair
TL;DR: In this article, a holographic model of the Einstein-Podolsky-Rosen pair exhibits fast scrambling, and the acceleration of the endpoint of the quark and antiquark is shown to destroy the correlation between them.
Journal ArticleDOI
Complexity of mixed Gaussian states from Fisher information geometry
Giuseppe Di Giulio,Erik Tonni +1 more
TL;DR: In this paper, the circuit complexity for mixed bosonic Gaussian states in harmonic lattices in any number of dimensions was studied and explicit proposals to quantify the spectrum complexity and the basis complexity were discussed.
Journal ArticleDOI
Complexity growth rate during phase transitions
TL;DR: In this article, the connection between the potentials, entropies, speed of sounds and complexity growth rates during crossover, first and second order phase transitions and also the behavior of quasinormal modes is established.
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.