Black Holes as Fast Scramblers


Sekino, Y. (2009). Black Holes as Fast Scramblers. Perimeter Institute. https://pirsa.org/09010033


Sekino, Yasuhiro. Black Holes as Fast Scramblers. Perimeter Institute, Jan. 25, 2009, https://pirsa.org/09010033


          @misc{ pirsa_PIRSA:09010033,
            doi = {10.48660/09010033},
            url = {https://pirsa.org/09010033},
            author = {Sekino, Yasuhiro},
            keywords = {Quantum Gravity, Quantum Fields and Strings},
            language = {en},
            title = {Black Holes as Fast Scramblers},
            publisher = {Perimeter Institute},
            year = {2009},
            month = {jan},
            note = {PIRSA:09010033 see, \url{https://pirsa.org}}


We consider the problem of how fast a quantum system can scramble (thermalize) information, given that the interactions are between bounded clusters of degrees of freedom. Based on previous work, we conjecture: 1) The most rapid scramblers take a time logarithmic in the number of degrees of freedom. 2)Matrix quantum mechanics (systems whose degrees of freedom are n by n matrices) saturate the bound. 3) Black holes are the fastest scramblers in nature. The conjectures are based on the principle of black hole complementarily, quantum information theory, and the study of black holes in string theory. This talk is based on Y. Sekino and L. Susskind, arXiv:0808.2096 [hep-th].