Complexity, action, and black holes

Adam R. Brown, Daniel A. Roberts, Leonard Susskind, Brian G. Swingle, Ying Zhao · DSpace@MIT (Massachusetts Institute of Technology) · 2015

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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