dorsal/arxiv
View SchemaA de Finetti Representation Theorem for Quantum Process Tomography
| Authors | Christopher A. Fuchs, Ruediger Schack, Petra F. Scudo |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0307198 |
| URL | https://arxiv.org/abs/quant-ph/0307198 |
| DOI | 10.1103/PhysRevA.69.062305 |
| Journal | Phys. Rev. A 69, 062305 (2004) |
Abstract
In quantum process tomography, it is possible to express the experimenter's prior information as a sequence of quantum operations, i.e., trace-preserving completely positive maps. In analogy to de Finetti's concept of exchangeability for probability distributions, we give a definition of exchangeability for sequences of quantum operations. We then state and prove a representation theorem for such exchangeable sequences. The theorem leads to a simple characterization of admissible priors for quantum process tomography and solves to a Bayesian's satisfaction the problem of an unknown quantum operation.
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"abstract": "In quantum process tomography, it is possible to express the experimenter\u0027s\nprior information as a sequence of quantum operations, i.e., trace-preserving\ncompletely positive maps. In analogy to de Finetti\u0027s concept of exchangeability\nfor probability distributions, we give a definition of exchangeability for\nsequences of quantum operations. We then state and prove a representation\ntheorem for such exchangeable sequences. The theorem leads to a simple\ncharacterization of admissible priors for quantum process tomography and solves\nto a Bayesian\u0027s satisfaction the problem of an unknown quantum operation.",
"arxiv_id": "quant-ph/0307198",
"authors": [
"Christopher A. Fuchs",
"Ruediger Schack",
"Petra F. Scudo"
],
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"quant-ph"
],
"doi": "10.1103/PhysRevA.69.062305",
"journal_ref": "Phys. Rev. A 69, 062305 (2004)",
"title": "A de Finetti Representation Theorem for Quantum Process Tomography",
"url": "https://arxiv.org/abs/quant-ph/0307198"
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