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Complete Complementarity Relations in System–environment Decoherent Dynamics

  • Atomic Physics
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Abstract

We investigate the system–environment information flow from the point of view of complete complementarity relations. We consider some commonly used noisy quantum channels: Amplitude damping, phase damping, bit flip, bit-phase flip, phase flip, depolarizing, and correlated amplitude damping. By starting with an entangled bipartite pure quantum state, with the linear entropy being the quantifier of entanglement, we study how entanglement is redistributed and turned into general correlations between the degrees of freedom of the whole system. For instance, it is possible to express the entanglement entropy in terms of the multipartite quantum coherence or in terms of the correlated quantum coherence of the different partitions of the system. In addition, we notice that for the depolarizing and bit-phase flip channels the wave and particle aspects can decrease or increase together. Besides, by considering the environment as part of a pure quantum system, the linear entropy is shown to be not just a measure of mixedness of a particular subsystem, but a correlation measure of the subsystem with rest of the world.

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Acknowledgements

This work was supported by the Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES), process 88882.427924/2019-01, and by the Instituto Nacional de Ciência e Tecnologia de Informação Quântica (INCT-IQ), process 465469/2014-0.

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  1. Departamento de Física, Centro de Ciências Naturais e Exatas, Universidade Federal de Santa Maria, Avenida Roraima 1000, Rio Grande do Sul, 97105-900, Santa Maria, Brazil

    Marcos L. W. Basso & Jonas Maziero

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  1. Marcos L. W. Basso
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Correspondence to Marcos L. W. Basso.

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Basso, M.L.W., Maziero, J. Complete Complementarity Relations in System–environment Decoherent Dynamics. Braz J Phys 51, 969–985 (2021). https://doi.org/10.1007/s13538-021-00931-6

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