Fast Scram blers

Fast Scram blers
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DOI:
10.1088/1126-6708/2008/10/065
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发表时间:
2008-08
期刊:
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影响因子:
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通讯作者:
Y. Sekino;L. Susskind
Y. Sekino;L. Susskind
中科院分区:
其他
文献类型:
--
作者:
Y. Sekino;L. Susskind

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我们考虑的问题是一个量子系统可以多快地扰乱(热化)信息,假设相互作用是在有界的自由度簇之间;成对相互作用就是一个例子。在前人工作的基础上,我们推测:1)最快的扰码在自由度数上是时间的对数。2)矩阵量子力学(自由度为n×n矩阵的系统)使边界饱和。3)黑洞是自然界中速度最快的加扰器。这些猜测基于两个来源,一个来自量子信息论,另一个来自对弦理论中黑洞的研究。
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; pairwise interactions would be an example. 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 two sources, one from quantum information theory, and the other from the study of black holes in String Theory.