dc.contributor.author | Leverrier, Anthony | |
dc.contributor.author | Cerf, Nicolas J. | |
dc.date.accessioned | 2011-07-28T19:41:42Z | |
dc.date.available | 2011-07-28T19:41:42Z | |
dc.date.issued | 2009-07 | |
dc.date.submitted | 2009-04 | |
dc.identifier.issn | 1050-2947 | |
dc.identifier.issn | 1094-1622 | |
dc.identifier.uri | http://hdl.handle.net/1721.1/64980 | |
dc.description.abstract | The quantum versions of de Finetti’s theorem derived so far express the convergence of n-partite symmetric states, i.e., states that are invariant under permutations of their n parties, toward probabilistic mixtures of independent and identically distributed (IID) states of the form σ⊗n [delta superscript x n]. Unfortunately, these theorems only hold in finite-dimensional Hilbert spaces, and their direct generalization to infinite-dimensional Hilbert spaces is known to fail. Here, we address this problem by considering invariance under orthogonal transformations in phase space instead of permutations in state space, which leads to a quantum de Finetti theorem particularly relevant to continuous-variable systems. Specifically, an n-mode bosonic state that is invariant with respect to this continuous symmetry in phase space is proven to converge toward a probabilistic mixture of IID Gaussian states (actually, n identical thermal states). | en_US |
dc.description.sponsorship | Future & Emerging Technologies (Program) (Project COMPAS grant no. 212008) | en_US |
dc.description.sponsorship | France. Agence nationale de la recherche (Project PROSPIQ Grant No. ANR-06-NANO-041- 05) | en_US |
dc.description.sponsorship | France. Agence nationale de la recherche (Project SEQURE Grant No. ANR-07-SESU-011-01) | en_US |
dc.description.sponsorship | Brussels-Capital Region (Project CRYPTASC) | en_US |
dc.language.iso | en_US | |
dc.publisher | American Physical Society | en_US |
dc.relation.isversionof | http://dx.doi.org/10.1103/PhysRevA.80.010102 | en_US |
dc.rights | Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. | en_US |
dc.source | APS | en_US |
dc.title | Quantum de Finetti theorem in phase-space representation | en_US |
dc.type | Article | en_US |
dc.identifier.citation | Leverrier, Anthony, and Nicolas Cerf. “Quantum De Finetti Theorem in Phase-space Representation.” Physical Review A 80.1 (2009) : n. pag. © 2009 The American Physical Society | en_US |
dc.contributor.department | Massachusetts Institute of Technology. Research Laboratory of Electronics | en_US |
dc.contributor.approver | Cerf, Nicolas J. | |
dc.contributor.mitauthor | Cerf, Nicolas J. | |
dc.relation.journal | Physical review A | en_US |
dc.eprint.version | Author's final manuscript | en_US |
dc.type.uri | http://purl.org/eprint/type/JournalArticle | en_US |
eprint.status | http://purl.org/eprint/status/PeerReviewed | en_US |
dspace.orderedauthors | Leverrier, Anthony; Cerf, Nicolas | en |
mit.license | PUBLISHER_POLICY | en_US |
mit.metadata.status | Complete | |