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Quantifying correlations via local channels

文献类型：期刊论文

作者Li, Nan2,3; Luo, Shunlong2,3; Sun, Yuan1
刊名PHYSICAL REVIEW A
出版日期2022-03-22
卷号105期号:3页码:11
ISSN号2469-9926
DOI10.1103/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
WOS记录号WOS:000783215400003
出版者AMER PHYSICAL SOC
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/60292]  
专题应用数学研究所
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.

入库方式： OAI收割

来源：数学与系统科学研究院

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