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From Local Operations to Collective Dephasing: Behavior of Correlated Quantum States

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Dynamics and Characterization of Composite Quantum Systems

Part of the book series: Springer Theses ((Springer Theses))

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Abstract

To analyze the correlation properties of quantum states with nonzero discord, we investigate the possibilities to create quantum discord with local operations. We introduce the correlation rank as a complementary notion for correlations in quantum states. Furthermore we study an experimentally relevant, classically correlated dephasing processes and its effect on different notions of correlations in quantum states.

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Notes

  1. 1.

    In the original publication, it was introduced as a “measure for the quantumness of correlations” (Ollivier and Zurek 2001).

  2. 2.

    One typically tries to characterize the entanglement of mixed states in terms of the pure states of which it is decomposed. Since there exist many equivalent decompositions of a pure state into mixed states, one minimizes the entanglement over all possible convex decompositions (Uhlmann 1998). This commonly referred to as a convex-roof.

  3. 3.

    Additional results on the generation and protection of correlated states by collective dephasing have been published in Carnio et al. (2016) after completion of this text.

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Authors and Affiliations

  1. Quantum Science and Technology in Arcetri (QSTAR), European Laboratory for Non-Linear Spectroscopy (LENS), Florence, Italy

    Manuel Gessner

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  1. Manuel Gessner
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Gessner, M. (2017). From Local Operations to Collective Dephasing: Behavior of Correlated Quantum States. In: Dynamics and Characterization of Composite Quantum Systems. Springer Theses. Springer, Cham. https://doi.org/10.1007/978-3-319-44459-8_3

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