English

Complexity, action, and black holes

High Energy Physics - Theory 2016-05-12 v2 General Relativity and Quantum Cosmology Quantum Physics

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.

Keywords

Cite

@article{arxiv.1512.04993,
  title  = {Complexity, action, and black holes},
  author = {Adam R. Brown and Daniel A. Roberts and Leonard Susskind and Brian Swingle and Ying Zhao},
  journal= {arXiv preprint arXiv:1512.04993},
  year   = {2016}
}

Comments

55+14 pages, many figures. v2: (so many) typos fixed, references added

R2 v1 2026-06-22T12:10:46.040Z