Rodríguez-Rosario, César A. ; Modi, Kavan ; Kuah, Aik-meng ; Shaji, Anil ; Sudarshan, E. C. G. (2008) Completely positive maps and classical correlations Journal of Physics A: Mathematical and Theoretical, 41 (20). 205301_1-205301_8. ISSN 1751-8113
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Official URL: http://iopscience.iop.org/1751-8121/41/20/205301
Related URL: http://dx.doi.org/10.1088/1751-8113/41/20/205301
Abstract
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 [1]. 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.
| Item Type: | Article |
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| Source: | Copyright of this article belongs to Institute of Physics. |
| ID Code: | 50972 |
| Deposited On: | 27 Jul 2011 13:05 |
| Last Modified: | 18 May 2016 05:05 |
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