dorsal/arxiv
View SchemaInformationally complete measurements and groups representation
| Authors | G. M. D'Ariano, P. Perinotti, M. F. Sacchi |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0310013 |
| URL | https://arxiv.org/abs/quant-ph/0310013 |
| DOI | 10.1088/1464-4266/6/6/005 |
| Journal | J. Opt. B: Quantum and Semicl. Optics, vol. 6, S487 (2004). |
Abstract
Informationally complete measurements on a quantum system allow to estimate the expectation value of any arbitrary operator by just averaging functions of the experimental outcomes. We show that such kind of measurements can be achieved through positive-operator valued measures (POVM's) related to unitary irreducible representations of a group on the Hilbert space of the system. With the help of frame theory we provide a constructive way to evaluate the data-processing function for arbitrary operators.
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"abstract": "Informationally complete measurements on a quantum system allow to estimate\nthe expectation value of any arbitrary operator by just averaging functions of\nthe experimental outcomes. We show that such kind of measurements can be\nachieved through positive-operator valued measures (POVM\u0027s) related to unitary\nirreducible representations of a group on the Hilbert space of the system. With\nthe help of frame theory we provide a constructive way to evaluate the\ndata-processing function for arbitrary operators.",
"arxiv_id": "quant-ph/0310013",
"authors": [
"G. M. D\u0027Ariano",
"P. Perinotti",
"M. F. Sacchi"
],
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],
"doi": "10.1088/1464-4266/6/6/005",
"journal_ref": "J. Opt. B: Quantum and Semicl. Optics, vol. 6, S487 (2004).",
"title": "Informationally complete measurements and groups representation",
"url": "https://arxiv.org/abs/quant-ph/0310013"
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