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Skew information-based uncertainty relations for quantum channels
Fu, Shuangshuang1; Sun, Yuan2,3; Luo, Shunlong2,3
AbstractThe most general quantum measurements in quantum mechanics are described by quantum channels (quantum operations), and intrinsic uncertainties emerge from the state-channel interaction. In this paper, we study uncertainty relations for arbitrary quantum channels in terms of generalized skew information, which was introduced by Wigner and Yanase only for Hermitian operators and has recently been generalized to arbitrary operators. We illustrate the uncertainty relations by explicit examples. Specifically, for unitary channels we make a comparison between the new bounds and existing results.
KeywordUncertainty relation Quantum channel Wigner-Yanase skew information
Funding ProjectNatural Science Foundation of Beijing, China[1174017] ; Young Scientists Fund of the National Natural Science Foundation of China[11605006] ; Natural Science Foundation of China[11875317] ; National Center for Mathematics and Interdisciplinary Sciences, Chinese Academy of Sciences[Y029152K51] ; Key Laboratory of Random Complex Structures and Data Science, Chinese Academy of Sciences[2008DP173182]
WOS Research AreaPhysics
WOS SubjectQuantum Science & Technology ; Physics, Multidisciplinary ; Physics, Mathematical
WOS IDWOS:000475578100002
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Document Type期刊论文
Corresponding AuthorFu, Shuangshuang
Affiliation1.Univ Sci & Technol Beijing, Sch Math & Phys, Beijing 100083, Peoples R China
2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China
3.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China
Recommended Citation
GB/T 7714
Fu, Shuangshuang,Sun, Yuan,Luo, Shunlong. Skew information-based uncertainty relations for quantum channels[J]. QUANTUM INFORMATION PROCESSING,2019,18(8):11.
APA Fu, Shuangshuang,Sun, Yuan,&Luo, Shunlong.(2019).Skew information-based uncertainty relations for quantum channels.QUANTUM INFORMATION PROCESSING,18(8),11.
MLA Fu, Shuangshuang,et al."Skew information-based uncertainty relations for quantum channels".QUANTUM INFORMATION PROCESSING 18.8(2019):11.
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