Role of quantum discord in quantum communication

Details Role of quantum discord in quantum communication Role of quantum discord in quantum communication

2011-07-05

arxiv.org/abs/1107.0994v1

Physics

Quantum Physics

To be published in Springer's Lecture Notes in Computer Science as proceedings of The sixth Conference on the Theory of Quantu

Scientific paper

Positivity of quantum discord is shown to be equivalent to the strong sub additivity of the Von-Nuemann entropy. This leads to a connection between the mother protocol of quantum information theory [A. Abeyesinghe, I. Devetak, P. Hayden, and A. Winter, Proc. R. Soc. A 465, 2537, (2009)] and quantum discord. We exploit this to show that quantum discord is a measure coherence in the performance of the mother protocol. Since the mother protocol is a unification of an important class of problems (those that are bipartite, unidirectional and memoryless), we show quantum discord to be a measure of coherence in these protocols. Our work generalizes an earlier operational interpretation of quantum discord provided in terms of quantum state merging [V. Madhok and A. Datta, Phys. Rev. A 83, 032323, (2011)].

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