理论物理通讯(英文版)2024,Vol.76Issue(3) :91-99.DOI:10.1088/1572-9494/ad216b

Tighter sum uncertainty relations via(α,β,γ)weighted Wigner-Yanase-Dyson skew information

Cong Xu Zhaoqi Wu Shao-Ming Fei
理论物理通讯(英文版)2024,Vol.76Issue(3) :91-99.DOI:10.1088/1572-9494/ad216b

Tighter sum uncertainty relations via(α,β,γ)weighted Wigner-Yanase-Dyson skew information

Cong Xu 1Zhaoqi Wu 2Shao-Ming Fei3
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作者信息

  • 1. School of Mathematical Sciences,Capital Normal University,Beijing 100048,China
  • 2. Department of Mathematics,Nanchang University,Nanchang 330031,China
  • 3. School of Mathematical Sciences,Capital Normal University,Beijing 100048,China;Max-Planck-Institute for Mathematics in the Sciences,04103 Leipzig,Germany
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Abstract

We establish tighter uncertainty relations for arbitrary finite observables via(α,β,γ)weighted Wigner-Yanase-Dyson((α,β,γ)WWYD)skew information.The results are also applicable to the(α,γ)weighted Wigner-Yanase-Dyson((α,γ)WWYD)skew information and the weighted Wigner-Yanase-Dyson(WWYD)skew information.We also present tighter lower bounds for quantum channels and unitary channels via(α,β,γ)modified weighted Wigner-Yanase-Dyson((α,β,γ)MWWYD)skew information.Detailed examples are provided to illustrate the tightness of our uncertainty relations.

Key words

quantum channels//β/γ)WWYD skew information//β/γ)MWWYD skew information/uncertainty relations

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基金项目

国家自然科学基金(12161056)

国家自然科学基金(12075159)

国家自然科学基金(12171044)

江西省自然科学基金(20232ACB211003)

AcademicianInnovation Platform of Hainan Province()

出版年

2024
理论物理通讯(英文版)
中国科学院理论物理研究所 中国物理学会

理论物理通讯(英文版)

CSTPCD
影响因子:0.333
ISSN:0253-6102
参考文献量45
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