Monotonicity of skew information and its applications in quantum resource theory
Li, Weijing1,2,3
AbstractAn alternative proof about the monotonicity of skew information via operator algebra approach is formulated. Furthermore, the strong monotonicity of skew information under particular quantum Trace-Preserving and Completely Positive maps is confirmed. A family of new quantum resource measures is introduced if the resource can be characterized by a resource destroying map and the free operation should be also modified. The proposed measure is easy-calculating and applicable to the quantum coherence resource theory as well as the quantum asymmetry theory. The operational interpretation needs to be further investigated.
KeywordMonotonicity of skew information Quantum resource theory Resource destroying map Resource measure
WOS Research AreaPhysics
WOS SubjectQuantum Science & Technology ; Physics, Multidisciplinary ; Physics, Mathematical
WOS IDWOS:000465166800001
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Document Type期刊论文
Corresponding AuthorLi, Weijing
Affiliation1.Chinese Acad Sci, Acad Math & Syst Sci, Inst Math, Beijing 100190, Peoples R China
2.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China
3.Chinese Acad Sci, Acad Math & Syst Sci, UTS AMSS Joint Res Lab Quantum Computat & Quantum, Beijing 100190, Peoples R China
Recommended Citation
GB/T 7714
Li, Weijing. Monotonicity of skew information and its applications in quantum resource theory[J]. QUANTUM INFORMATION PROCESSING,2019,18(6):10.
APA Li, Weijing.(2019).Monotonicity of skew information and its applications in quantum resource theory.QUANTUM INFORMATION PROCESSING,18(6),10.
MLA Li, Weijing."Monotonicity of skew information and its applications in quantum resource theory".QUANTUM INFORMATION PROCESSING 18.6(2019):10.
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