Quantumness-generating capability of quantum dynamics

doi:10.1007/s11128-018-1829-6

CSpace > 应用数学研究所

	Quantumness-generating capability of quantum dynamics
	Li, Nan1,2 ; Luo, Shunlong1,2 ; Mao, Yuanyuan 1,2
	2018-04-01
发表期刊	QUANTUM INFORMATION PROCESSING
ISSN	1570-0755
卷号	17 期号:4 页码:18
摘要	We 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.
关键词	Quantum dynamics Quantumness Noncommutativity Quantum Markovianity
DOI	10.1007/s11128-018-1829-6
语种	英语
资助项目	National 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研究方向	Physics
WOS类目	Physics, Multidisciplinary ; Physics, Mathematical
WOS记录号	WOS:000427533400029
出版者	SPRINGER
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/29831
专题	应用数学研究所
通讯作者	Li, Nan
作者单位	1.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
推荐引用方式 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.