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.
- Received 30 January 2016
DOI:https://doi.org/10.1103/PhysRevLett.116.191301
© 2016 American Physical Society
Physics Subject Headings (PhySH)
Viewpoint
Black Holes Produce Complexity Fastest
Published 9 May 2016
Theoretical results suggest a precise speed limit on the growth of complexity in quantum gravity, set by fundamental laws and saturated by black holes.
See more in Physics