dorsal/arxiv
View SchemaQuorum of observables for universal quantum estimation
| Authors | G. Mauro D'Ariano, Lorenzo Maccone, Matteo G. A. Paris |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0006006 |
| URL | https://arxiv.org/abs/quant-ph/0006006 |
| DOI | 10.1088/0305-4470/34/1/307 |
| Journal | J. Phys. A vol 34, 93 (2001). |
Abstract
Any method for estimating the ensemble average of arbitrary operator (observables or not, including the density matrix) relates the quantity of interest to a complete set of observables, i.e. a quorum}. This corresponds to an expansion on an irreducible set of operators in the Liouville space. We give two general characterizations of these sets. All the known unbiased reconstruction techniques, i.e. ``quantum tomographies'', can be described in this framework. New operatorial resolutions are given that can be used to implement novel reconstruction schemes.
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"abstract": "Any method for estimating the ensemble average of arbitrary operator\n(observables or not, including the density matrix) relates the quantity of\ninterest to a complete set of observables, i.e. a quorum}. This corresponds to\nan expansion on an irreducible set of operators in the Liouville space. We give\ntwo general characterizations of these sets. All the known unbiased\nreconstruction techniques, i.e. ``quantum tomographies\u0027\u0027, can be described in\nthis framework. New operatorial resolutions are given that can be used to\nimplement novel reconstruction schemes.",
"arxiv_id": "quant-ph/0006006",
"authors": [
"G. Mauro D\u0027Ariano",
"Lorenzo Maccone",
"Matteo G. A. Paris"
],
"categories": [
"quant-ph"
],
"doi": "10.1088/0305-4470/34/1/307",
"journal_ref": "J. Phys. A vol 34, 93 (2001).",
"title": "Quorum of observables for universal quantum estimation",
"url": "https://arxiv.org/abs/quant-ph/0006006"
},
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