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Complexity, action, and black holes

2015/12/31 by Adam R. Brown, Daniel A. Roberts, Leonard Susskind +2 · 2 citations
Physics and Astronomy · #hep-th #gr-qc #quant-ph

paper · pdf · doi:10.1103/physrevd.93.086006

published as Phys. Rev. D 93, 086006 (2016) · 55+14 pages, many figures. v2: (so many) typos fixed, references added

arxiv created 2016/05/10 · arxiv updated 2016/05/12

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.

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