Distance between Quantum States and Gauge-Gravity Duality.

Distance between Quantum States and Gauge-Gravity Duality.
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DOI:
10.1103/physrevlett.115.261602
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发表时间:
2015-07
影响因子:
8.6
通讯作者:
Masamichi Miyaji;Tokiro Numasawa;Noburo Shiba;T. Takayanagi;Kento Watanabe
Masamichi Miyaji;Tokiro Numasawa;Noburo Shiba;T. Takayanagi;Kento Watanabe
中科院分区:
物理与天体物理1区
文献类型:
--
作者:
Masamichi Miyaji;Tokiro Numasawa;Noburo Shiba;T. Takayanagi;Kento Watanabe

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本文研究了共形场论中的量子信息度规(或称保真度磁化率)对主算符的微扰。我们认为,它的引力对偶近似地由反德西特时空中的最大时间片的体积给出,当微扰是精确的边际。我们用几个例子来证实我们的主张。
We study a quantum information metric (or fidelity susceptibility) in conformal field theories with respect to a small perturbation by a primary operator. We argue that its gravity dual is approximately given by a volume of maximal time slice in an anti-de Sitter spacetime when the perturbation is exactly marginal. We confirm our claim in several examples.