Monogamy of quantum discord by multipartite correlations

被引:43
作者
Braga, H. C. [1 ]
Rulli, C. C. [1 ]
de Oliveira, Thiago R. [1 ]
Sarandy, M. S. [1 ]
机构
[1] Univ Fed Fluminense, Inst Fis, BR-24210346 Niteroi, RJ, Brazil
来源
PHYSICAL REVIEW A | 2012年 / 86卷 / 06期
关键词
CLASSICAL CORRELATIONS;
D O I
10.1103/PhysRevA.86.062106
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
We introduce a monogamy inequality for quantum correlations, which implies that the sum of pairwise quantum correlations is upper limited by the amount of multipartite quantum correlations as measured by the global quantum discord. This monogamy bound holds either for pure or mixed quantum states provided that bipartite quantum discord does not increase under discard of subsystems. We illustrate the monogamy behavior for multipartite pure states with Schmidt decomposition as well as for W-GHZ mixed states. As a by-product, we apply the monogamy bound to investigate residual multipartite correlations. DOI: 10.1103/PhysRevA.86.062106
引用
收藏
页数:5
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共 37 条
[21]   Classical and quantum correlations under decoherence [J].
Maziero, J. ;
Celeri, L. C. ;
Serra, R. M. ;
Vedral, V. .
PHYSICAL REVIEW A, 2009, 80 (04)
[22]  
MAZIERO J, ARXIV10042082
[23]   Unification of quantum and classical correlations and quantumness measures [J].
Modi, Kavan ;
Vedral, Vlatko .
75 YEARS OF QUANTUM ENTANGLEMENT: FOUNDATIONS AND INFORMATION THEORETIC APPLICATIONS, 2011, 1384 :69-75
[24]   Quantum discord and multipartite correlations [J].
Okrasa, M. ;
Walczak, Z. .
EPL, 2011, 96 (06)
[25]   Quantum discord: A measure of the quantumness of correlations [J].
Ollivier, H ;
Zurek, WH .
PHYSICAL REVIEW LETTERS, 2002, 88 (01) :4
[26]   Existence of the Schmidt decomposition for tripartite systems [J].
Pati, AK .
PHYSICS LETTERS A, 2000, 278 (03) :118-122
[27]   Security proof for cryptographic protocols based only on the monogamy of Bell's inequality violations [J].
Pawlowski, M. .
PHYSICAL REVIEW A, 2010, 82 (03)
[28]   HIGHER-ORDER SCHMIDT DECOMPOSITIONS [J].
PERES, A .
PHYSICS LETTERS A, 1995, 202 (01) :16-17
[29]   No-local-broadcasting theorem for multipartite quantum correlations [J].
Piani, Marco ;
Horodecki, Pawel ;
Horodecki, Ryszard .
PHYSICAL REVIEW LETTERS, 2008, 100 (09)
[30]   Conditions for monogamy of quantum correlations: Greenberger-Horne-Zeilinger versus W states [J].
Prabhu, R. ;
Pati, Arun Kumar ;
Sen , Aditi ;
Sen, Ujjwal .
PHYSICAL REVIEW A, 2012, 85 (04)