The Optimal Pure Gaussian State Canonically Associated to a Gaussian Quantum State

Gosson, Maurice de

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The Optimal Pure Gaussian State Canonically Associated to a Gaussian Quantum State

Gosson, Maurice de

Responsible organisation

Blekinge Institute of Technology, Department of Health, Science and Mathematics

2004 (English)In: Physics Letters A, ISSN 0375-9601, E-ISSN 1873-2429, Vol. 330, no 3-4, p. 161-167Article in journal (Refereed) Published

Abstract [en]

We show, using the symplectically invariant notion of 'quantum blob', that it is possible to attach a canonical optimal Gaussian pure state to an arbitrary quantum state. When at least one pair of conjugate variables satisfies the minimum uncertainty condition, then the associated Gaussian is uniquely determined up to an overall phase factor. (C) 2004 Elsevier B.V. All rights reserved

Place, publisher, year, edition, pages

Amsterdam: Elsevier , 2004. Vol. 330, no 3-4, p. 161-167

Keywords [en]

symplectic camel, uncertainty, Gaussian state, Wigner function, quantum blob

National Category

Geometry

Identifiers

URN: urn:nbn:se:bth-8348ISI: 000223962300006Local ID: oai:bth.se:forskinfoD43E2A0208C2BF41C12575040058BC22OAI: oai:DiVA.org:bth-8348DiVA, id: diva2:836058

Available from: 2012-09-18 Created: 2008-11-17 Last updated: 2017-12-04Bibliographically approved

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Physics Letters A

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Geometry

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