dorsal/arxiv
View SchemaParameter estimation for mixed states from a single copy
| Authors | Thomas Konrad, Otfried Gühne, Jürgen Audretsch, Hans J. Briegel |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0702211 |
| URL | https://arxiv.org/abs/quant-ph/0702211 |
| DOI | 10.1103/PhysRevA.75.062101 |
| Journal | Phys. Rev. A 75, 062101 (2007) |
Abstract
Given a single copy of a mixed state of the form \rho=\lambda\rho_1+(1-\lambda)\rho_2, what is the optimal measurement to estimate the parameter \lambda, if \rho_1 and \rho_2 are known? We present a general strategy to obtain the optimal measurements employing a Bayesian estimator. The measurements are chosen to minimize the deviation between the estimated- and the true value of \lambda. We explicitly determine the optimal measurements for a general two-dimensional system and for important higher dimensional cases.
{
"annotation_id": "d213b2e3-4570-4328-a29d-8f46c4e2a00c",
"date_created": "2026-03-02T18:02:34.549000Z",
"date_modified": "2026-03-02T18:02:34.549000Z",
"file_hash": "37021ed3877f7972e25b037135c1396c472fc6e64861aaa6073feba87059c14b",
"private": false,
"record": {
"abstract": "Given a single copy of a mixed state of the form\n\\rho=\\lambda\\rho_1+(1-\\lambda)\\rho_2, what is the optimal measurement to\nestimate the parameter \\lambda, if \\rho_1 and \\rho_2 are known? We present a\ngeneral strategy to obtain the optimal measurements employing a Bayesian\nestimator. The measurements are chosen to minimize the deviation between the\nestimated- and the true value of \\lambda. We explicitly determine the optimal\nmeasurements for a general two-dimensional system and for important higher\ndimensional cases.",
"arxiv_id": "quant-ph/0702211",
"authors": [
"Thomas Konrad",
"Otfried G\u00fchne",
"J\u00fcrgen Audretsch",
"Hans J. Briegel"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.75.062101",
"journal_ref": "Phys. Rev. A 75, 062101 (2007)",
"title": "Parameter estimation for mixed states from a single copy",
"url": "https://arxiv.org/abs/quant-ph/0702211"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "9d77f518-324a-4dae-963d-63fb513128dd",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}