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HUANG Xiao-fen. Decompositions for a class of 5×5 separable quantum states[J]. Journal of East China Normal University (Natural Sciences), 2014, (1): 1-8.
Citation: HUANG Xiao-fen. Decompositions for a class of 5×5 separable quantum states[J]. Journal of East China Normal University (Natural Sciences), 2014, (1): 1-8.

Decompositions for a class of 5×5 separable quantum states

  • Received Date: 2013-04-01
  • Rev Recd Date: 2013-07-01
  • Publish Date: 2014-01-25
  • This paper studied certain quantum states for which the PPT criterion was both sufficient and necessary for separability. A class of 55, bipartite mixed states was prestented and the conditions of PPT for these states were derived. The separable pure state decompositions of these states were explicitly constructed when they were PPT, so we can judge a class of states entangled or not by this method.
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  • [1]
    {1} PRESKILL J. The theory of quantum information and quantum computation [J/OL]. California Inst of Tech, 2000. http://www.theory.caltech.edu/people/\-preskill/ph229/.
    {2} NIELSEN M A. CHUANG I. Quantum Computation and Quantum Information [M]. Cambridge: Cambridge University Press, 2000.
    {3} BOUWEESTER D, EKERT A, ZEILINGER A. The Physics of Quantum Information: Quantum Cryptography, Quantum Teleportation and Quantum Comutation [M]. New York: Springer,  2000.
    {4} BELL J S. On the Einstein Podolsky Rosen paradox [J]. Physics, 1964, 1(3): 195-200.
    {5} PERES A. Separability criterion for density matrices [J]. Phys Rev Lett, 1996, 77: 1413-1415.
    {6} HORODECKI M, HORODECKI P. Reduction criterion of separability and limits for a class of distillation protocols [J]. Phys Rev A, 1999, 59: 4206-4216.
    {7} CERF N J, ADAMI C GINGRICH R M. Reduction criterion for separability [J]. Phys Rev A, 1996, 60: 898.
    {8} NIELSEN M A, KEMPE J. Separable states are more disordered globally than locally [J]. Phys Rev Lett, 2001, 86: 5184-5187.
    {9} TERHAL B. Bell inequalities and the separability criterion [J]. Phys Lett A, 2000, 271: 319.
    {10} LEWENSTEIN M. KRAUS B, CIRAC J I, et al. Optimization of entanglement witnesses [J]. Phys Rev A, 2000, 62: 052310.
    {11} RUDOLPH O. Some properties of the computable cross-norm criterion for separability [J]. Phys Rev A, 2003, 67: 032312.
    {12} CHEN K WU L A. Detection of entanglement and Bell's inequality violation [J]. Phys Lett A, 2002, 306: 14.
    {13} ALBEVERIO S, CHEN K, FEI S M. Generalized reduction criterion for separability of quantum states [J]. Phys Rev A, 2003, 68: 062313.
    {14} HORODECKI P, LEWENSTEIN M, VIDAL G, et al. Operational criterion and constructive checks for the separability of low-rank density matrices [J]. Phys Rev A, 2000, 62: 032310.
    {15} ALBEVERIO S. FEI S M, GOSWAMI D. Separability of rank two quantum states [J]. Phys Lett A, 2001, 286: 91-96.
    {16} FEI S M, GAO X H, WANG X H, et al. Separability of rank two quantum states on multiple quantum spaces [J]. Phys Lett A, 2002, 300: 555-562.
    {17} HORODECKI M, HORODECKI P, HORODECKI R. Separability of mixes states:necessary and sufficient conditions [J]. Phys Lett A, 1996, 233: 1.
    {18} FEI S M, LI-JOST X. A note on quantum entanglement and PPT [J]. Int J Quant Inform, 2009, 7: 587.
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