Quantum discord for two-qubit X states

By Mazhar N. Ali, A. Rau, G. Alber. 2010

831 citations recorded by the source corpus.

Quantum discord, a kind of quantum correlation, is defined as the difference between quantum mutual information and classical correlation in a bipartite system. In general, this correlation is different from entanglement, and quantum discord may be nonzero even for certain separable states. Even in the simple case of bipartite quantum systems, this different kind of quantum correlation has interesting and significant applications in quantum information processing. So far, quantum discord has been calculated explicitly only for a rather limited set of two-qubit quantum states and expressions for more general quantum states are not known. In this article, we derive explicit expressions for quantum discord for a larger class of two-qubit states, namely, a seven-parameter family of so called X states that have been of interest in a variety of contexts in the field. We also study the relation between quantum discord, classical correlation, and entanglement for a number of two-qubit states to demonstrate that they are independent measures of correlation with no simple relative ordering between them.

Subfields: Artificial Intelligence, Atomic and Molecular Physics, and Optics

View Paper: https://www.semanticscholar.org/paper/389491087f77991cb563afa9512d67b1a9827e4f

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In Artificial Intelligence

  1. Kavan Modi
  2. Tomasz Paterek
  3. H. Cable
  4. Aharon Brodutch
  5. Vlatko Vedral

In Atomic and Molecular Physics, and Optics

  1. Kavan Modi
  2. Tomasz Paterek
  3. H. Cable
  4. Aharon Brodutch
  5. Vlatko Vedral

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