Witnessing quantum discord in 2xN systems

Bylicka, Bogna; Chruscinski, Dariusz

doi:10.1103/PHYSREVA.81.062102

Title: Witnessing quantum discord in 2xN systems

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Abstract

Bipartite states with vanishing quantum discord are necessarily separable and hence positive partial transpose (PPT). We show that 2xN states satisfy additional property: the positivity of their partial transposition is recognized with respect to the canonical factorization of the original density operator. We call such states strong PPT (SPPT). Therefore, we provide a natural witness for a quantum discord: if a 2xN state is not SPPT it must contain nonclassical correlations measured by quantum discord. It is an analog of the celebrated Peres-Horodecki criterion: if a state is not PPT it must be entangled.

Authors:

Bylicka, Bogna; Chruscinski, Dariusz ^[1]

Institute of Physics, Nicolaus Copernicus University, GrudziaPdzka 5/7, PL-87-100 Torun (Poland)

Publication Date:: Tue Jun 15 00:00:00 EDT 2010

OSTI Identifier:: 21407890

Resource Type:: Journal Article

Journal Name:: Physical Review. A

Additional Journal Information:: Journal Volume: 81; Journal Issue: 6; Other Information: DOI: 10.1103/PhysRevA.81.062102; (c) 2010 The American Physical Society; Journal ID: ISSN 1050-2947

Country of Publication:: United States

Language:: English

Subject:: 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; CORRELATIONS; DENSITY MATRIX; FACTORIZATION; QUANTUM ENTANGLEMENT; QUANTUM OPERATORS; MATHEMATICAL OPERATORS; MATRICES

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                    Bylicka, Bogna, and Chruscinski, Dariusz. Witnessing quantum discord in 2xN systems.  United States: N. p., 2010. 
        Web.  doi:10.1103/PHYSREVA.81.062102.

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                    Bylicka, Bogna, & Chruscinski, Dariusz. Witnessing quantum discord in 2xN systems.  United States.  https://doi.org/10.1103/PHYSREVA.81.062102

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                    Bylicka, Bogna, and Chruscinski, Dariusz. 2010.  
        "Witnessing quantum discord in 2xN systems".  United States.  https://doi.org/10.1103/PHYSREVA.81.062102.

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@article{osti_21407890,

  title        = {Witnessing quantum discord in 2xN systems},

  author       = {Bylicka, Bogna and Chruscinski, Dariusz},

  abstractNote = {Bipartite states with vanishing quantum discord are necessarily separable and hence positive partial transpose (PPT). We show that 2xN states satisfy additional property: the positivity of their partial transposition is recognized with respect to the canonical factorization of the original density operator. We call such states strong PPT (SPPT). Therefore, we provide a natural witness for a quantum discord: if a 2xN state is not SPPT it must contain nonclassical correlations measured by quantum discord. It is an analog of the celebrated Peres-Horodecki criterion: if a state is not PPT it must be entangled.},

  doi          = {10.1103/PHYSREVA.81.062102},

  url          = {https://www.osti.gov/biblio/21407890},
  journal      = {Physical Review. A},

  issn         = {1050-2947},

  number       = 6,

  volume       = 81,

  place        = {United States},

  year         = {Tue Jun 15 00:00:00 EDT 2010},

  month        = {Tue Jun 15 00:00:00 EDT 2010}

}

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