Quantifying correlations via local channels

doi:10.1103/PhysRevA.105.032436

	Quantifying correlations via local channels
	Li, Nan 2,3; Luo, Shunlong 2,3; Sun, Yuan 1
刊名	PHYSICAL REVIEW A
	2022-03-22
卷号	105 期号:3 页码:11
ISSN号	2469-9926
DOI	10.1103/PhysRevA.105.032436
英文摘要	Quantum channels, in general, will disturb quantum states and will lead to decoherence (i.e., information leakage to the environment). For bipartite systems, local channels often cause more decoherence for global states than for local states due to correlations. Intuitively, the difference between these two kinds of decoherence (i.e., global and local ones) may be regarded as a quantifier characterizing certain aspects of correlations in the global bipartite states. Based on this idea, we introduce a quantifier of correlations (relative to a local channel) as the coherence difference and investigate its basic properties. We probe and quantify correlations relative to various channels including the unitary channels, the twirling channels, the projective measurements, and the weak measurements. In particular, we show that both product states and some natural classical-quantum states can be operationally characterized in terms of local channels: The product states are just those states with vanishing coherence difference relative to the twirling channel induced by the unitary group, whereas these natural classical-quantum states are just those states with vanishing coherence difference relative to the twirling channel induced by the subgroup of the unitary group that does not disturb the local states. We further illustrate the results by various examples.
资助项目	National Key R&D Program of China[2020YFA0712700] ; National Natural Science Foundation of China[11775298] ; National Natural Science Foundation of China[11875317] ; National Natural Science Foundation of China[12005104] ; National Natural Science Foundation of China[61833010] ; Youth Innovation Promotion Association of CAS, China[2020002] ; Natural Science Foundation of the Jiangsu Higher Education Institutions of China[20KJB140028]
WOS研究方向	Optics ; Physics
语种	英语
出版者	AMER PHYSICAL SOC
WOS记录号	WOS:000783215400003
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/60292]
专题	中国科学院数学与系统科学研究院
通讯作者	Sun, Yuan
作者单位	1.Nanjing Normal Univ, Sch Math Sci, Nanjing 210023, Peoples R China 2.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China 3.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Li, Nan,Luo, Shunlong,Sun, Yuan. Quantifying correlations via local channels[J]. PHYSICAL REVIEW A,2022,105(3):11.
APA	Li, Nan,Luo, Shunlong,&Sun, Yuan.(2022).Quantifying correlations via local channels.PHYSICAL REVIEW A,105(3),11.
MLA	Li, Nan,et al."Quantifying correlations via local channels".PHYSICAL REVIEW A 105.3(2022):11.