dorsal/arxiv
View SchemaA Finite de Finetti Theorem for Infinite-Dimensional Systems
| Authors | Christian D'Cruz, Tobias J. Osborne, Ruediger Schack |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0606139 |
| URL | https://arxiv.org/abs/quant-ph/0606139 |
| DOI | 10.1103/PhysRevLett.98.160406 |
| Journal | Phys. Rev. Lett. 98, 160406 (2007) |
Abstract
We formulate and prove a de Finetti representation theorem for finitely exchangeable states of a quantum system consisting of k infinite-dimensional subsystems. The theorem is valid for states that can be written as the partial trace of a pure state chosen from a family of subsets C_n of the full symmetric subspace for $n$ subsystems. We show that such states become arbitrarily close to mixtures of pure power states as n increases. We give a second equivalent characterization of the family C_n.
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"abstract": "We formulate and prove a de Finetti representation theorem for finitely\nexchangeable states of a quantum system consisting of k infinite-dimensional\nsubsystems. The theorem is valid for states that can be written as the partial\ntrace of a pure state chosen from a family of subsets C_n of the full symmetric\nsubspace for $n$ subsystems. We show that such states become arbitrarily close\nto mixtures of pure power states as n increases. We give a second equivalent\ncharacterization of the family C_n.",
"arxiv_id": "quant-ph/0606139",
"authors": [
"Christian D\u0027Cruz",
"Tobias J. Osborne",
"Ruediger Schack"
],
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"quant-ph"
],
"doi": "10.1103/PhysRevLett.98.160406",
"journal_ref": "Phys. Rev. Lett. 98, 160406 (2007)",
"title": "A Finite de Finetti Theorem for Infinite-Dimensional Systems",
"url": "https://arxiv.org/abs/quant-ph/0606139"
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