dorsal/arxiv
View SchemaOptimal minimal measurements of mixed states
| Authors | G. Vidal, J. I. Latorre, P. Pascual, R. Tarrach |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9812068 |
| URL | https://arxiv.org/abs/quant-ph/9812068 |
| DOI | 10.1103/PhysRevA.60.126 |
| Journal | Phys.Rev. A60 (1999) 126 |
Abstract
The optimal and minimal measuring strategy is obtained for a two-state system prepared in a mixed state with a probability given by any isotropic a priori distribution. We explicitly construct the specific optimal and minimal generalized measurements, which turn out to be independent of the a priori probability distribution, obtaining the best guesses for the unknown state as well as a closed expression for the maximal mean averaged fidelity. We do this for up to three copies of the unknown state in a way which leads to the generalization to any number of copies, which we then present and prove.
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"abstract": "The optimal and minimal measuring strategy is obtained for a two-state system\nprepared in a mixed state with a probability given by any isotropic a priori\ndistribution. We explicitly construct the specific optimal and minimal\ngeneralized measurements, which turn out to be independent of the a priori\nprobability distribution, obtaining the best guesses for the unknown state as\nwell as a closed expression for the maximal mean averaged fidelity. We do this\nfor up to three copies of the unknown state in a way which leads to the\ngeneralization to any number of copies, which we then present and prove.",
"arxiv_id": "quant-ph/9812068",
"authors": [
"G. Vidal",
"J. I. Latorre",
"P. Pascual",
"R. Tarrach"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.60.126",
"journal_ref": "Phys.Rev. A60 (1999) 126",
"title": "Optimal minimal measurements of mixed states",
"url": "https://arxiv.org/abs/quant-ph/9812068"
},
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