arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2102.01898hep-thgr-qc
收藏

量子距离的引力对偶

Gravity dualities of quantum distances

Run-Qiu Yang

摘要:

以模基态为参考态,发现三个最常用的距离和一个量子准距离,即迹距离、Fubini-Study距离、Bures距离和Rényi相对熵都具有引力对偶性.它们的引力对偶有两种等价的描述:一种是由宇宙膜面积的积分给出,另一种是由对偶理论的欧几里德在壳作用量和宇宙膜面积给出。并将这些对偶性应用于二维共形场论中,得到了与场论完全一致的结果。

英文摘要:

By choosing modular ground state as the reference state, this paper finds that three most frequently-used distances and a quantum quasi-distance, i.e. the trace distance, Fubini-Study distance, Bures distance and Rényi relative entropy, all have gravity dualities. Their gravity dualities have two equivalent descriptions: one is given by the integration of the area of a cosmic brane, the other one is given by the Euclidian on-shell action of dual theory and the area of the cosmic brane. It then applies these dualities into the 2-dimensional conformal field theory as examples and finds the results match with the computations of field theory exactly.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑