HILBERT-SCHMIDT MEASURE OF PAIRWISE QUANTUM DISCORD FOR THREE-QUBIT X STATES

被引：4
作者：
Daoud, M. [1 ,2 ,3 ]
Laamara, R. Ahl [4 ,5 ]
Seddik, S. [4 ]
机构：
[1] Max Planck Inst Phys Komplexer Syst, Dresden, Germany
[2] Abdus Salam Int Ctr Theoret Phys, Trieste, Italy
[3] Univ Ibnou Zohr, Dept Phys, Fac Sci, Agadir, Morocco
[4] LPHE Modeling & Simulat, Fac Sci, Rabat, Morocco
[5] Ctr Phys & Math, Rabat, Morocco
来源：
REPORTS ON MATHEMATICAL PHYSICS | 2015年 / 76卷 / 02期
关键词：
quantum information; entanglement; quantum discord; multi-qubit states; monogamy relation; ENTANGLEMENT; MONOGAMY;
D O I：
10.1016/S0034-4877(15)30030-6
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
The Hilbert-Schmidt distance between a mixed three-qubit state and its closest state is used to quantify the amount of pairwise quantum correlations in a tripartite system. Analytical expressions of geometric quantum discord are derived. A particular attention is devoted to two special classes of three-qubit X states. They include three-qubit states of W, GHZ and Bell type. We also discuss the monogamy property of geometric quantum discord in some mixed three-qubit systems.
引用
收藏
页码：207 / 230
页数：24
相关论文
共 53 条
  • [1] Continuous variable tangle, monogamy inequality, and entanglement sharing in Gaussian states of continuous variable systems
    Adesso, G
    Illuminati, F
    [J]. NEW JOURNAL OF PHYSICS, 2006, 8
  • [2] Sudden death of entanglement at finite temperature
    Al-Qasimi, Asma
    James, Daniel F. V.
    [J]. PHYSICAL REVIEW A, 2008, 77 (01)
  • [3] Manipulating entanglement sudden death of two-qubit X-states in zero- and finite-temperature reservoirs
    Ali, Mazhar
    Alber, G.
    Rau, A. R. P.
    [J]. JOURNAL OF PHYSICS B-ATOMIC MOLECULAR AND OPTICAL PHYSICS, 2009, 42 (02)
  • [4] Quantum discord and classical correlations in the bond-charge Hubbard model: Quantum phase transitions, off-diagonal long-range order, and violation of the monogamy property for discord
    Allegra, Michele
    Giorda, Paolo
    Montorsi, Arianna
    [J]. PHYSICAL REVIEW B, 2011, 84 (24)
  • [5] Baez JC, 2002, B AM MATH SOC, V39, P145
  • [6] BETH T, 1993, ENCY MATH, V69, P53201
  • [7] Non-Markovian disentanglement dynamics of a two-qubit system
    Cao, Xiufeng
    Zheng, Hang
    [J]. PHYSICAL REVIEW A, 2008, 77 (02):
  • [8] Distributed entanglement
    Coffman, V
    Kundu, J
    Wootters, WK
    [J]. PHYSICAL REVIEW A, 2000, 61 (05): : 5
  • [9] Necessary and Sufficient Condition for Nonzero Quantum Discord
    Dakic, Borivoje
    Vedral, Vlatko
    Brukner, Caslav
    [J]. PHYSICAL REVIEW LETTERS, 2010, 105 (19)
  • [10] A recursive approach for geometric quantifiers of quantum correlations in multiqubit Schrodinger cat states
    Daoud, M.
    Laamara, R. Ahl
    Seddik, S.
    [J]. INTERNATIONAL JOURNAL OF MODERN PHYSICS B, 2015, 29 (19):
123456