A Condition for the Nullity of Quantum Discord

Details A Condition for the Nullity of Quantum Discord A Condition for the Nullity of Quantum Discord

2010-03-27

arxiv.org/abs/1003.5256v2

Physics

Quantum Physics

Flawed statements in Theorem 2 corrected. 3 pages

Scientific paper

The positivity of quantum discord is shown to be equivalent to the strong subadditivity of von-Neumann entropy. This leads us to a necessary and sufficient condition characterizing the set of states with zero quantum discord. This also gives us a mathematical definition of pointer states, as they are the states with zero discord. Finally, we suggest that strong subadditivity of entropy might delineate the boundaries of the set of quantum correlations.

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