Show simple item record

dc.contributor.authorLeverrier, Anthony
dc.contributor.authorCerf, Nicolas J.
dc.date.accessioned2011-07-28T19:41:42Z
dc.date.available2011-07-28T19:41:42Z
dc.date.issued2009-07
dc.date.submitted2009-04
dc.identifier.issn1050-2947
dc.identifier.issn1094-1622
dc.identifier.urihttp://hdl.handle.net/1721.1/64980
dc.description.abstractThe 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.sponsorshipFuture & Emerging Technologies (Program) (Project COMPAS grant no. 212008)en_US
dc.description.sponsorshipFrance. Agence nationale de la recherche (Project PROSPIQ Grant No. ANR-06-NANO-041- 05)en_US
dc.description.sponsorshipFrance. Agence nationale de la recherche (Project SEQURE Grant No. ANR-07-SESU-011-01)en_US
dc.description.sponsorshipBrussels-Capital Region (Project CRYPTASC)en_US
dc.language.isoen_US
dc.publisherAmerican Physical Societyen_US
dc.relation.isversionofhttp://dx.doi.org/10.1103/PhysRevA.80.010102en_US
dc.rightsArticle 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.sourceAPSen_US
dc.titleQuantum de Finetti theorem in phase-space representationen_US
dc.typeArticleen_US
dc.identifier.citationLeverrier, Anthony, and Nicolas Cerf. “Quantum De Finetti Theorem in Phase-space Representation.” Physical Review A 80.1 (2009) : n. pag. © 2009 The American Physical Societyen_US
dc.contributor.departmentMassachusetts Institute of Technology. Research Laboratory of Electronicsen_US
dc.contributor.approverCerf, Nicolas J.
dc.contributor.mitauthorCerf, Nicolas J.
dc.relation.journalPhysical review Aen_US
dc.eprint.versionAuthor's final manuscripten_US
dc.type.urihttp://purl.org/eprint/type/JournalArticleen_US
eprint.statushttp://purl.org/eprint/status/PeerRevieweden_US
dspace.orderedauthorsLeverrier, Anthony; Cerf, Nicolasen
mit.licensePUBLISHER_POLICYen_US
mit.metadata.statusComplete


Files in this item

Thumbnail

This item appears in the following Collection(s)

Show simple item record