dorsal/arxiv
View SchemaCompletely Positive Maps and Classical Correlations
| Authors | César A. Rodríguez-Rosario, Kavan Modi, Aik-meng Kuah, Anil Shaji, E. C. G. Sudarshan |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0703022 |
| URL | https://arxiv.org/abs/quant-ph/0703022 |
| DOI | 10.1088/1751-8113/41/20/205301 |
| Journal | J. Phys. A: Math. Theor. 41 (2008) 205301 |
| License | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ |
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 [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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"abstract": "We expand the set of initial states of a system and its environment that are\nknown to guarantee completely positive reduced dynamics for the system when the\ncombined state evolves unitarily. We characterize the correlations in the\ninitial state in terms of its quantum discord [H. Ollivier and W. H. Zurek,\nPhys. Rev. Lett. 88, 017901 (2001)]. We prove that initial states that have\nonly classical correlations lead to completely positive reduced dynamics. The\ninduced maps can be not completely positive when quantum correlations\nincluding, but not limited to, entanglement are present. We outline the\nimplications of our results to quantum process tomography experiments.",
"arxiv_id": "quant-ph/0703022",
"authors": [
"C\u00e9sar A. Rodr\u00edguez-Rosario",
"Kavan Modi",
"Aik-meng Kuah",
"Anil Shaji",
"E. C. G. Sudarshan"
],
"categories": [
"quant-ph"
],
"doi": "10.1088/1751-8113/41/20/205301",
"journal_ref": "J. Phys. A: Math. Theor. 41 (2008) 205301",
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
"title": "Completely Positive Maps and Classical Correlations",
"url": "https://arxiv.org/abs/quant-ph/0703022"
},
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