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
Complexity of magnetization and magnetic simplification
TL;DR: In this paper , the effect of magnetic fields on the complexity of the formation of states in the gauge theories dual to two different gravitational models was investigated. But the authors focused on the effect on the number of degrees of freedom required to form a state and not only on the intensity of the magnetic field, but also on the degree of freedom needed to obtain it.
Journal ArticleDOI
Towards a Fisher-information description of complexity in de Sitter universe
Chong-Bin Chen,Fu-Wen Shu +1 more
TL;DR: In this paper, the complexity of a tensor network can be regarded as a Fisher information measure (FIM) of a dS universe, followed by several observations: (i) the holographic entanglement entropy admits a information-theoretical interpretation, (ii) on-shell action has a same description of FIM, (iii) complexity/action duality holds for dS spacetime.
Journal ArticleDOI
Quantum complexity and the virial theorem
TL;DR: In this article, a relation between Kolmogorov complexity and computational complexity in the thermal equilibrium has been established by applying the virial theorem to the group manifold of unitary operators.
Journal ArticleDOI
Primordial Gravitational Wave Circuit Complexity
TL;DR: In this paper , the quantum circuit complexity of primordial gravitational wave (PGW) was investigated for various cosmological models, such as de Sitter, inflation, radiation, reheating, matter, bouncing, cyclic and black hole gas model etc.
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.