dorsal/arxiv
View SchemaOptimal estimation of an observable's expectation value for pure states for general measure of deviation
| Authors | Minoru Horibe, Akihisa Hayashi, Takaaki Hashimoto |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0610014 |
| URL | https://arxiv.org/abs/quant-ph/0610014 |
Abstract
We investigate the optimal estimation of quantum expectation value of a physical observable, which minimizes a mean error with respect to general measure of deviation, when a finite number of copies of a pure state are prepared. If pure sates are uniformly distributed, the minimum value of mean error for any measure of deviation is achieved by projective measurement on each copy.
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"date_created": "2026-03-02T18:02:30.991000Z",
"date_modified": "2026-03-02T18:02:30.991000Z",
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"abstract": "We investigate the optimal estimation of quantum expectation value of a\nphysical observable, which minimizes a mean error with respect to general\nmeasure of deviation, when a finite number of copies of a pure state are\nprepared. If pure sates are uniformly distributed, the minimum value of mean\nerror for any measure of deviation is achieved by projective measurement on\neach copy.",
"arxiv_id": "quant-ph/0610014",
"authors": [
"Minoru Horibe",
"Akihisa Hayashi",
"Takaaki Hashimoto"
],
"categories": [
"quant-ph"
],
"title": "Optimal estimation of an observable\u0027s expectation value for pure states for general measure of deviation",
"url": "https://arxiv.org/abs/quant-ph/0610014"
},
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