dorsal/arxiv
View SchemaOptimum measurement for unambiguously discriminating two mixed states: General considerations and special cases
| Authors | Ulrike Herzog, Janos A. Bergou |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0510170 |
| URL | https://arxiv.org/abs/quant-ph/0510170 |
| DOI | 10.1088/1742-6596/36/1/010 |
Abstract
Based on our previous publication [U. Herzog and J. A. Bergou, Phys.Rev. A 71, 050301(R) (2005)] we investigate the optimum measurement for the unambiguous discrimination of two mixed quantum states that occur with given prior probabilities. Unambiguous discrimination of nonorthogonal states is possible in a probabilistic way, at the expense of a nonzero probability of inconclusive results, where the measurement fails. Along with a discussion of the general problem, we give an example illustrating our method of solution. We also provide general inequalities for the minimum achievable failure probability and discuss in more detail the necessary conditions that must be fulfilled when its absolute lower bound, proportional to the fidelity of the states, can be reached.
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"abstract": "Based on our previous publication [U. Herzog and J. A. Bergou, Phys.Rev. A\n71, 050301(R) (2005)] we investigate the optimum measurement for the\nunambiguous discrimination of two mixed quantum states that occur with given\nprior probabilities. Unambiguous discrimination of nonorthogonal states is\npossible in a probabilistic way, at the expense of a nonzero probability of\ninconclusive results, where the measurement fails. Along with a discussion of\nthe general problem, we give an example illustrating our method of solution. We\nalso provide general inequalities for the minimum achievable failure\nprobability and discuss in more detail the necessary conditions that must be\nfulfilled when its absolute lower bound, proportional to the fidelity of the\nstates, can be reached.",
"arxiv_id": "quant-ph/0510170",
"authors": [
"Ulrike Herzog",
"Janos A. Bergou"
],
"categories": [
"quant-ph"
],
"doi": "10.1088/1742-6596/36/1/010",
"title": "Optimum measurement for unambiguously discriminating two mixed states: General considerations and special cases",
"url": "https://arxiv.org/abs/quant-ph/0510170"
},
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