Analytical solutions and criteria for the quantum discord of two-qubit X-states

Analytical solutions and criteria for the quantum discord of two-qubit X-states Except for a few special states, computing quantum discord remains a complicated optimization process. In this paper, we present analytical solutions for computing quantum discord of the most general class of $$X$$ X -states and the criteria for each analytical solution to be valid. We discuss parameter regions that correspond to different analytical solutions and explain the underlying reasons for such structure to exist. We apply our formalism to study both arbitrary $$X$$ X -states and $$X$$ X -states with certain symmetries. We find that our analytical formalism is in excellent agreement with numerical calculation of quantum discord in both cases. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Quantum Information Processing Springer Journals

Analytical solutions and criteria for the quantum discord of two-qubit X-states

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Publisher
Springer Journals
Copyright
Copyright © 2015 by Springer Science+Business Media New York
Subject
Physics; Quantum Information Technology, Spintronics; Quantum Computing; Data Structures, Cryptology and Information Theory; Quantum Physics; Mathematical Physics
ISSN
1570-0755
eISSN
1573-1332
D.O.I.
10.1007/s11128-015-0943-y
Publisher site
See Article on Publisher Site

Abstract

Except for a few special states, computing quantum discord remains a complicated optimization process. In this paper, we present analytical solutions for computing quantum discord of the most general class of $$X$$ X -states and the criteria for each analytical solution to be valid. We discuss parameter regions that correspond to different analytical solutions and explain the underlying reasons for such structure to exist. We apply our formalism to study both arbitrary $$X$$ X -states and $$X$$ X -states with certain symmetries. We find that our analytical formalism is in excellent agreement with numerical calculation of quantum discord in both cases.

Journal

Quantum Information ProcessingSpringer Journals

Published: Mar 5, 2015

References

  • Tomographic causal analysis of two-qubit states and tomographic discord
    Kiktenkoa, E; Fedorov, A
  • Entanglement swapping for X states demands threshold values
    Roa, L; Muñoz, A; Grüning, G
  • Quantum discord for two-qubit X states: analytical formula with very small worst-case error
    Huang, Y

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