Completely Positive Maps and Classical Correlations

Details Completely Positive Maps and Classical Correlations Completely Positive Maps and Classical Correlations

2007-03-02

arxiv.org/abs/quant-ph/0703022v4

J. Phys. A: Math. Theor. 41 (2008) 205301

Physics

Quantum Physics

4 pages, 1 figure

Scientific paper

10.1088/1751-8113/41/20/205301

We expand the set of initial states of a system and its environment that are known to guarantee completely positive reduced dynamics for the system when the combined state evolves unitarily. We characterize the correlations in the initial state in terms of its quantum discord [H. Ollivier and W. H. Zurek, Phys. Rev. Lett. 88, 017901 (2001)]. We prove that initial states that have only classical correlations lead to completely positive reduced dynamics. The induced maps can be not completely positive when quantum correlations including, but not limited to, entanglement are present. We outline the implications of our results to quantum process tomography experiments.

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