César A Rodríguez-Rosario et al 2008 J. Phys. A: Math. Theor. 41 205301 doi:10.1088/1751-8113/41/20/205301
Completely positive maps and classical correlations
César A Rodríguez-Rosario1, Kavan Modi1, Aik-meng Kuah1, Anil Shaji2 and E C G Sudarshan1
Show affiliationsWe 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.
- PACS
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03.67.Mn Entanglement measures, witnesses, and other characterizations
03.67.Lx Quantum computation architectures and implementations
03.65.Yz Decoherence; open systems; quantum statistical methods
- MSC
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81P68 Quantum computation and quantum cryptography (See also 68Q05, 94A60)
- Subjects
- Dates
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Issue 20 (23 May 2008)
Received 7 February 2008, in final form 18 March 2008
Published 23 April 2008
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Completely positive maps and classical correlations
César A Rodríguez-Rosario et al 2008 J. Phys. A: Math. Theor. 41 205301
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