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25 April 2024
 
  » arxiv » 1202.1959

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Correlations in quantum states and the local creation of quantum discord
Manuel Gessner ; Elsi-Mari Laine ; Heinz-Peter Breuer ; Jyrki Piilo ;
Date 9 Feb 2012
AbstractQuantum 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.
Source arXiv, 1202.1959
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