Complexity, action, and black holes
Abstract
Our earlier paper "Complexity Equals Action" conjectured that the quantum computational complexity of a holographic state is given by the classical action of a region in the bulk (the "Wheeler-DeWitt" patch). We provide calculations for the results quoted in that paper, explain how it fits into a broader (tensor) network of ideas, and elaborate on the hypothesis that black holes are the fastest computers in nature.
- Publication:
-
Physical Review D
- Pub Date:
- April 2016
- DOI:
- 10.1103/PhysRevD.93.086006
- arXiv:
- arXiv:1512.04993
- Bibcode:
- 2016PhRvD..93h6006B
- Keywords:
-
- High Energy Physics - Theory;
- General Relativity and Quantum Cosmology;
- Quantum Physics
- E-Print:
- 55+14 pages, many figures. v2: (so many) typos fixed, references added