Correlations in quantum states and the local creation of quantum discord

Details Correlations in quantum states and the local creation of quantum discord Correlations in quantum states and the local creation of quantum discord

2012-02-09

arxiv.org/abs/1202.1959v1

Physics

Quantum Physics

Scientific paper

Quantum discord is usually referred to as a measure for quantum correlations. In the search of the fundamental resource to gain a quantum advantage in quantum information applications, quantum discord is considered a promising candidate. In this paper we present an alternative view on quantum correlations in terms of the rank of the correlation matrix as introduced in [Phys. Rev. Lett. 105, 190502 (2010)]. According to our analysis, information about the quantum discord does not necessarily determine the amount of quantum correlations but rather the quantumness of the state. Nonzero quantum discord is only a necessary but not a sufficient condition for correlations above the classically achievable limit. This becomes clear when we consider states of nonzero discord which can be created from zero discord states only by a single local operation. We further show that the set of these states has measure zero.

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