dorsal/arxiv
View SchemaUnambiguous discrimination of mixed quantum states
| Authors | Chi Zhang, Yuan Feng, Ming Sheng Ying |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0410073 |
| URL | https://arxiv.org/abs/quant-ph/0410073 |
| DOI | 10.1016/j.physleta.2005.12.097 |
| Journal | Phys. Lett. A, 353, 300-306 (2006) |
Abstract
In this paper, we consider the problem of unambiguous discrimination between a set of mixed quantum states. We first divide the density matrix of each mixed state into two parts by the fact that it comes from ensemble of pure quantum states. The first part will not contribute anything to the discrimination, the second part has support space linearly independent to each other. Then the problem we consider can be reduced to a problem in which the strategy of set discrimination can be used in designing measurements to discriminate mixed states unambiguously. We find a necessary and sufficient condition of unambiguous mixed state discrimination, and also point out that searching the optimal success probability of unambiguous discrimination is mathematically the well-known semi-definite programming problem. A upper bound of the optimal success probability is also presented. Finally, We generalize the concept of set discrimination to mixed state and point out that the problem of discriminating it unambiguously is equivalent to that of unambiguously discriminating mixed states.
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"abstract": "In this paper, we consider the problem of unambiguous discrimination between\na set of mixed quantum states. We first divide the density matrix of each mixed\nstate into two parts by the fact that it comes from ensemble of pure quantum\nstates. The first part will not contribute anything to the discrimination, the\nsecond part has support space linearly independent to each other. Then the\nproblem we consider can be reduced to a problem in which the strategy of set\ndiscrimination can be used in designing measurements to discriminate mixed\nstates unambiguously. We find a necessary and sufficient condition of\nunambiguous mixed state discrimination, and also point out that searching the\noptimal success probability of unambiguous discrimination is mathematically the\nwell-known semi-definite programming problem. A upper bound of the optimal\nsuccess probability is also presented. Finally, We generalize the concept of\nset discrimination to mixed state and point out that the problem of\ndiscriminating it unambiguously is equivalent to that of unambiguously\ndiscriminating mixed states.",
"arxiv_id": "quant-ph/0410073",
"authors": [
"Chi Zhang",
"Yuan Feng",
"Ming Sheng Ying"
],
"categories": [
"quant-ph"
],
"doi": "10.1016/j.physleta.2005.12.097",
"journal_ref": "Phys. Lett. A, 353, 300-306 (2006)",
"title": "Unambiguous discrimination of mixed quantum states",
"url": "https://arxiv.org/abs/quant-ph/0410073"
},
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