dorsal/arxiv
View SchemaOptimal quantum detectors for unambiguous detection of mixed states
| Authors | Yonina C. Eldar, Mihailo Stojnic, Babak Hassibi |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0312061 |
| URL | https://arxiv.org/abs/quant-ph/0312061 |
| DOI | 10.1103/PhysRevA.69.062318 |
Abstract
We consider the problem of designing an optimal quantum detector that distinguishes unambiguously between a collection of mixed quantum states. Using arguments of duality in vector space optimization, we derive necessary and sufficient conditions for an optimal measurement that maximizes the probability of correct detection. We show that the previous optimal measurements that were derived for certain special cases satisfy these optimality conditions. We then consider state sets with strong symmetry properties, and show that the optimal measurement operators for distinguishing between these states share the same symmetries, and can be computed very efficiently by solving a reduced size semidefinite program.
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"abstract": "We consider the problem of designing an optimal quantum detector that\ndistinguishes unambiguously between a collection of mixed quantum states. Using\narguments of duality in vector space optimization, we derive necessary and\nsufficient conditions for an optimal measurement that maximizes the probability\nof correct detection. We show that the previous optimal measurements that were\nderived for certain special cases satisfy these optimality conditions. We then\nconsider state sets with strong symmetry properties, and show that the optimal\nmeasurement operators for distinguishing between these states share the same\nsymmetries, and can be computed very efficiently by solving a reduced size\nsemidefinite program.",
"arxiv_id": "quant-ph/0312061",
"authors": [
"Yonina C. Eldar",
"Mihailo Stojnic",
"Babak Hassibi"
],
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"quant-ph"
],
"doi": "10.1103/PhysRevA.69.062318",
"title": "Optimal quantum detectors for unambiguous detection of mixed states",
"url": "https://arxiv.org/abs/quant-ph/0312061"
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