Hierarchy in temporal quantum correlations

被引:25
作者
Ku, Huan-Yu [1 ,2 ]
Chen, Shin-Liang [1 ,3 ]
Lambert, Neill [2 ]
Chen, Yueh-Nan [1 ,2 ,4 ]
Nori, Franco [2 ,5 ]
机构
[1] Natl Cheng Kung Univ, Dept Phys, Tainan 701, Taiwan
[2] RIKEN, Cluster Pioneering Res, Theoret Quantum Phys Lab, Wako, Saitama 3510198, Japan
[3] Max Planck Inst Quantum Opt, Hans Kopfermann Str 1, D-85748 Garching, Germany
[4] Natl Ctr Theoret Sci, Phys Div, Hsinchu 300, Taiwan
[5] Univ Michigan, Dept Phys, Ann Arbor, MI 48109 USA
基金
日本学术振兴会; 日本科学技术振兴机构;
关键词
SEPARABILITY; MECHANICS; SYSTEMS; STATE;
D O I
10.1103/PhysRevA.98.022104
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
Einstein-Podolsky-Rosen (EPR) steering is an intermediate quantum correlation that lies in between entanglement and Bell nonlocality. Its temporal analog, temporal steering, has recently been shown to have applications in quantum information and open quantum systems. Here we show that there exists a hierarchy among the three temporal quantum correlations: temporal inseparability, temporal steering, and macrorealism. Given that the temporal inseparability can be used to define a measure of quantum causality, similarly the quantification of temporal steering can be viewed as a weaker measure of direct cause and can be used to distinguish between direct cause and common cause in a quantum network.
引用
收藏
页数:9
相关论文
共 64 条
[1]   Computational Advantage from Quantum-Controlled Ordering of Gates [J].
Araujo, Mateus ;
Costa, Fabio ;
Brukner, Caslav .
PHYSICAL REVIEW LETTERS, 2014, 113 (25)
[2]   Temporal steering and security of quantum key distribution with mutually unbiased bases against individual attacks [J].
Bartkiewicz, Karol ;
Cernoch, Antonin ;
Lemr, Karel ;
Miranowicz, Adam ;
Nori, Franco .
PHYSICAL REVIEW A, 2016, 93 (06)
[3]  
Bell J. S., 1964, PHYSICS, V1, P195, DOI [10.1103/physicsphysiquefizika.1.195, DOI 10.1103/PHYSICSPHYSIQUEFIZIKA.1.195, 10.1103/Physics-PhysiqueFizika.1.195]
[4]   Arbitrarily Loss-Tolerant Einstein-Podolsky-Rosen Steering Allowing a Demonstration over 1 km of Optical Fiber with No Detection Loophole [J].
Bennet, A. J. ;
Evans, D. A. ;
Saunders, D. J. ;
Branciard, C. ;
Cavalcanti, E. G. ;
Wiseman, H. M. ;
Pryde, G. J. .
PHYSICAL REVIEW X, 2012, 2 (03)
[5]  
Brukner C, 2014, NAT PHYS, V10, P259, DOI [10.1038/nphys2930, 10.1038/NPHYS2930]
[6]   Temporal Quantum Correlations and Leggett-Garg Inequalities in Multilevel Systems [J].
Budroni, Costantino ;
Emary, Clive .
PHYSICAL REVIEW LETTERS, 2014, 113 (05)
[7]   Quantum steering: a review with focus on semidefinite programming [J].
Cavalcanti, D. ;
Skrzypczyk, P. .
REPORTS ON PROGRESS IN PHYSICS, 2017, 80 (02)
[8]   Quantitative relations between measurement incompatibility, quantum steering, and nonlocality [J].
Cavalcanti, D. ;
Skrzypczyk, P. .
PHYSICAL REVIEW A, 2016, 93 (05)
[9]   Experimental criteria for steering and the Einstein-Podolsky-Rosen paradox [J].
Cavalcanti, E. G. ;
Jones, S. J. ;
Wiseman, H. M. ;
Reid, M. D. .
PHYSICAL REVIEW A, 2009, 80 (03)
[10]   Information-theoretic implications of quantum causal structures [J].
Chaves, Rafael ;
Majenz, Christian ;
Gross, David .
NATURE COMMUNICATIONS, 2015, 6