Measurement-induced geometric measures of correlations based on the trace distance for two-qubit X states

被引:1
作者
Walczak, Zbigniew [1 ]
Bauer, Jaroslaw H. [1 ]
机构
[1] Univ Lodz, Fac Phys & Appl Informat, Dept Theoret Phys, Pomorska 149-153, PL-90236 Lodz, Poland
关键词
Geometric measures of correlations; Classical and quantum correlations; Trace distance; Continuity of measures of correlations; X states; QUANTUM; ENTANGLEMENT;
D O I
10.1007/s11128-020-02680-y
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We apply the modified Brodutch and Modi method of constructing geometric measures of correlations to obtain analytical expressions for measurement-induced geometric classical and quantum correlations based on the trace distance for two-qubit X states. Moreover, we study continuity of the classical and quantum correlations for these states. In particular, we show that these correlations may not be continuous.
引用
收藏
页数:17
相关论文
共 40 条
[1]   Measures and applications of quantum correlations [J].
Adesso, Gerardo ;
Bromley, Thomas R. ;
Cianciaruso, Marco .
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2016, 49 (47)
[2]   Nonlocality and entanglement in qubit systems [J].
Batle, J. ;
Casas, M. .
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2011, 44 (44)
[3]   Quantum nonlocality without entanglement [J].
Bennett, CH ;
DiVincenzo, DP ;
Fuchs, CA ;
Mor, T ;
Rains, E ;
Shor, PW ;
Smolin, JA ;
Wootters, WK .
PHYSICAL REVIEW A, 1999, 59 (02) :1070-1091
[4]   Quantum discord and its allies: a review of recent progress [J].
Bera, Anindita ;
Das, Tamoghna ;
Sadhukhan, Debasis ;
Roy, Sudipto Singha ;
Sen , Aditi ;
Sen, Ujjwal .
REPORTS ON PROGRESS IN PHYSICS, 2018, 81 (02)
[5]   Quantum computing without entanglement [J].
Biham, E ;
Brassard, G ;
Kenigsberg, D ;
Mor, T .
THEORETICAL COMPUTER SCIENCE, 2004, 320 (01) :15-33
[6]   Separability of very noisy mixed states and implications for NMR Quantum computing [J].
Braunstein, SL ;
Caves, CM ;
Jozsa, R ;
Linden, N ;
Popescu, S ;
Schack, R .
PHYSICAL REVIEW LETTERS, 1999, 83 (05) :1054-1057
[7]  
Brodutch A, 2012, QUANTUM INF COMPUT, V12, P721
[8]   Quantum discord of two-qubit X states [J].
Chen, Qing ;
Zhang, Chengjie ;
Yu, Sixia ;
Yi, X. X. ;
Oh, C. H. .
PHYSICAL REVIEW A, 2011, 84 (04)
[9]   Toward computability of trace distance discord [J].
Ciccarello, F. ;
Tufarelli, T. ;
Giovannetti, V. .
NEW JOURNAL OF PHYSICS, 2014, 16
[10]   Necessary and Sufficient Condition for Nonzero Quantum Discord [J].
Dakic, Borivoje ;
Vedral, Vlatko ;
Brukner, Caslav .
PHYSICAL REVIEW LETTERS, 2010, 105 (19)