Cesar Andres Rodriguez - Academia.edu (original) (raw)

Cesar Andres Rodriguez

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Papers by Cesar Andres Rodriguez

Research paper thumbnail of 07 03 02 2 v 4 2 9 O ct 2 00 9 Completely positive maps and classical correlations

We expand the set of initial states of a system and its environment that are known to guarantee c... more 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.

Research paper thumbnail of 07 03 02 2 v 4 2 9 O ct 2 00 9 Completely positive maps and classical correlations

We expand the set of initial states of a system and its environment that are known to guarantee c... more 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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