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Quantumness-generating capability of quantum dynamics
Li, Nan1,2; Luo, Shunlong1,2; Mao, Yuanyuan1,2
AbstractWe study quantumness-generating capability of quantum dynamics, where quantumness refers to the noncommutativity between the initial state and the evolving state. In terms of the commutator of the square roots of the initial state and the evolving state, we define a measure to quantify the quantumness-generating capability of quantum dynamics with respect to initial states. Quantumness-generating capability is absent in classical dynamics and hence is a fundamental characteristic of quantum dynamics. For qubit systems, we present an analytical form for this measure, by virtue of which we analyze several prototypical dynamics such as unitary dynamics, phase damping dynamics, amplitude damping dynamics, and random unitary dynamics (Pauli channels). Necessary and sufficient conditions for the monotonicity of quantumness-generating capability are also identified. Finally, we compare these conditions for the monotonicity of quantumness-generating capability with those for various Markovianities and illustrate that quantumness-generating capability and quantum Markovianity are closely related, although they capture different aspects of quantum dynamics.
KeywordQuantum dynamics Quantumness Noncommutativity Quantum Markovianity
Funding ProjectNational Natural Science Foundation of China[11375259] ; National Natural Science Foundation of China[11405262] ; 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 SubjectPhysics, Multidisciplinary ; Physics, Mathematical
WOS IDWOS:000427533400029
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Document Type期刊论文
Corresponding AuthorLi, Nan
Affiliation1.Chinese Acad Sci, Acad Math & Syst Sci, RCSDS, Beijing 100190, Peoples R China
2.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China
Recommended Citation
GB/T 7714
Li, Nan,Luo, Shunlong,Mao, Yuanyuan. Quantumness-generating capability of quantum dynamics[J]. QUANTUM INFORMATION PROCESSING,2018,17(4):18.
APA Li, Nan,Luo, Shunlong,&Mao, Yuanyuan.(2018).Quantumness-generating capability of quantum dynamics.QUANTUM INFORMATION PROCESSING,17(4),18.
MLA Li, Nan,et al."Quantumness-generating capability of quantum dynamics".QUANTUM INFORMATION PROCESSING 17.4(2018):18.
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