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Direct-dynamical Entanglement–Discord relations

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Abstract

In this article, by considering Bell-diagonal two-qubit initial states under local dynamics generated by the Phase Damping, Bit Flip, Phase Flip, Bit Phase Flip, and Depolarizing channels, we report some elegant direct-dynamical relations between geometric measures of Entanglement and Discord. The complex scenario appearing already in this simplified case study indicates that a similarly simple relation shall hardly be found in more general situations.

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Acknowledgements

JM acknowledges the financial support of the Brazilian funding agencies: Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq), process 441875/2014-9, Instituto Nacional de Ciência e Tecnologia de Informação Quântica (INCT-IQ), process 2008/57856-6, and Coordenação de Desenvolvimento de Pessoal de Nível Superior (CAPES), process 6531/2014-08. JM thanks the hospitality of the Physics Institute and Laser Spectroscopy Group at the Universidad de la República, Uruguay.

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  1. Jonas Maziero

    Present address: Departamento de Física, Centro de Ciências Naturais e Exatas, Universidade Federal de Santa Maria, Avenida Roraima 1000, Santa Maria, RS, 97105-900, Brazil

Authors and Affiliations

  1. Facultad de Ingeniería, Instituto de Física, Universidad de la República, J. Herrera y Reissig 565, 11300, Montevideo, Uruguay

    Virginia Feldman, Jonas Maziero & A. Auyuanet

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Feldman, V., Maziero, J. & Auyuanet, A. Direct-dynamical Entanglement–Discord relations. Quantum Inf Process 16, 128 (2017). https://doi.org/10.1007/s11128-017-1580-4

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