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Detecting two qubit both-way positive discord states

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Abstract

Quantum discord plays a pragmatic role in analyzing nonclassical feature of quantum correlations beyond entanglement. It is used in several information processing protocols which lacks sufficient amount of entanglement to be used as a resource. We have provided with an analytical method of detecting quantum discord of an arbitrary two qubit state. We have formulated a set of necessary and sufficient conditions for any two qubit state to be a both-way non-zero quantum discord state. As quantum discord is asymmetric in nature, we have framed the set of if and only if conditions for a two qubit state to be classical-quantum as well for it to be quantum-classical. Interestingly, not only correlation tensor but also local Bloch vector (corresponding to the classical party) plays a role for detecting the state to be a positive discord state.

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Authors and Affiliations

  1. Department of Mathematics, Government Girls’ General Degree College, Ekbalpore, Kolkata, 700023, India

    Kaushiki Mukherjee

  2. Department of Mathematics, Heritage Institute of Technology, Anandapur, Kolkata, 700107, India

    Sumana Karmakar

  3. Department of Mathematics, South Malda College, Malda, West Bengal, India

    Biswajit Paul

  4. Department of Applied Mathematics, University of Calcutta, 92, A.P.C. Road, Kolkata, 700009, India

    Debasis Sarkar

Authors
  1. Kaushiki Mukherjee
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  2. Sumana Karmakar
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  3. Biswajit Paul
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  4. Debasis Sarkar
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Correspondence to Debasis Sarkar.

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Mukherjee, K., Karmakar, S., Paul, B. et al. Detecting two qubit both-way positive discord states. Eur. Phys. J. D 73, 188 (2019). https://doi.org/10.1140/epjd/e2019-100100-8

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  • DOI: https://doi.org/10.1140/epjd/e2019-100100-8

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