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Simulating Markovian quantum decoherence processes through an all-optical setup

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Abstract

We investigate through both theory and experiment quantum decoherence processes. By considering a qubit under the effect of Markovian channels, we analytically obtain expressions for the \(l_1\)-norm of coherence and for the corresponding maximal coherence measure in terms of the initial state and decoherence parameters. In particular, we examine under which conditions such quantum coherence quantifiers exhibit the eternal freezing phenomenon, and we find that this property is more common in maximal quantum coherence compared to quantum coherence. We implement an all-optical setup with an intense laser to perform the experimental simulation of the quantum channels, where the qubit was encoded in polarization degree of freedom and the environment was encoded in the propagation path.

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Acknowledgements

We would like to thank Professor M.S. Sarandy by fruitful discussions. This work is supported by the Brazilian agencies CNPq, CAPES, FAPERJ and the Brazilian National Institute for Science and Technology of Quantum Information (INCT-IQ).

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Authors and Affiliations

  1. Instituto de Física, Universidade Federal Fluminense, Av. Gal. Milton Tavares de Souza s/n, Gragoatá, Niterói, RJ, 24210-346, Brazil

    P. C. Obando, M. H. M. Passos & J. A. O. Huguenin

  2. Brazilian Center for Research in Physics (CBPF), Rua Dr. Xavier Sigaud, 150, Rio de Janeiro, RJ, Brazil

    P. C. Obando

  3. Instituto de Ciências Exatas, Universidade Federal Fluminense, Volta Redonda, RJ, Brazil

    M. H. M. Passos & J. A. O. Huguenin

  4. Núcleo de Ciências Físicas, Universidade Tecnológica Federal do Paraná, Rua Cristo rei 19, Vila Becker, Toledo, PR, 85902-490, Brazil

    F. M. Paula

  5. Centro de Ciências Naturais e Humanas, Universidade Federal do ABC, Avenida dos Estados 5001, Santo André, SP, 09210-580, Brazil

    F. M. Paula

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  1. P. C. Obando
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Correspondence to J. A. O. Huguenin.

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Obando, P.C., Passos, M.H.M., Paula, F.M. et al. Simulating Markovian quantum decoherence processes through an all-optical setup. Quantum Inf Process 19, 7 (2020). https://doi.org/10.1007/s11128-019-2499-8

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