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Quantum Fisher Information for Density Matrices with Arbitrary Ranks
  • ISSN号：0253-6102
  • 期刊名称：Communications in Theoretical Physics
  • 时间：2014.1.1
  • 页码：45-50
  • 分类：O322[理学—一般力学与力学基础;理学—力学] O413.1[理学—理论物理;理学—物理]
  • 作者机构：[1]Zhejiang Institute of Modem Physics, Zhejiang University, Hangzhou 310027, China
  • 相关基金：Project supported by the National Basic Research Program of China （Grant No. 2012CB921602） and the National Natural Science Foundation of China （Grant Nos. 11025527 and 10935010）.
  • 相关项目：量子信息学及其量子物理基础问题研究
作者： Liu Jing|Jing Xiao-Xing|Zhong Wei|Wang Xiao-Guang|
关键词： 摄动展开法, 量子态, 度量, Fisher信息, 量子统计模型, 区分性, 无限小, 量子位, quantum Chernoff metric, Hellinger distance, perturbation expansion
中文摘要：

We investigate a measure of distinguishability defined by the quantum Chernoff bound, which naturally induces the quantum Chernoff metric over a manifold of quantum states. Based on a quantum statistical model, we alternatively derive this metric by means of perturbation expansion. Moreover, we show that the quantum Chernoff metric coincides with the infinitesimal form of the quantum Hellinger distance, and reduces to the variant version of the quantum Fisher information for the single-parameter case. We also give the exact form of the quantum Chernoff metric for a qubit system containing a single parameter.

英文摘要：

We investigate a measure of distinguishability defined by the quantum Chernoff bound, which naturally induces the quantum Chernoff metric over a manifold of quantum states. Based on a quantum statistical model, we alternatively derive this metric by means of perturbation expansion. Moreover, we show that the quantum Chernoff metric coincides with the infinitesimal form of the quantum Hellinger distance, and reduces to the variant version of the quantum Fisher information for the single-parameter case. We also give the exact form of the quantum Chernoff metric for a qubit system containing a single parameter.

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期刊信息
  • 《理论物理通讯：英文版》
  • 中国科技核心期刊
  • 主管单位:中国科学院
  • 主办单位:中科院理论物理所 中国物理学会
  • 主编：孙昌浦
  • 地址：北京2735邮政信箱 中国科学院理论物理研究所编辑部
  • 邮编：100190
  • 邮箱：ctp@itp.ac.cn
  • 电话：010-62551495 62541813 62550630
  • 国际标准刊号：ISSN：0253-6102
  • 国内统一刊号：ISSN：11-2592/O3
  • 邮发代号:
  • 获奖情况:
  • 首届国家期刊奖,中国科学院优秀期刊特别奖,国家期刊奖百种重点期刊,中国期刊方阵“双高”期刊
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  • 被引量:342