Quantifying correlations via local channels

doi:10.1103/PhysRevA.105.032436

CSpace > 应用数学研究所

	Quantifying correlations via local channels
	Li, Nan1,2 ; Luo, Shunlong1,2 ; Sun, Yuan 3
	2022-03-22
发表期刊	PHYSICAL REVIEW A
ISSN	2469-9926
卷号	105 期号:3 页码:11
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.
DOI	10.1103/PhysRevA.105.032436
收录类别	SCI
语种	英语
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
WOS类目	Optics ; Physics, Atomic, Molecular & Chemical
WOS记录号	WOS:000783215400003
出版者	AMER PHYSICAL SOC
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/60293
专题	应用数学研究所
通讯作者	Sun, Yuan
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China 2.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China 3.Nanjing Normal Univ, Sch Math Sci, Nanjing 210023, 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.