Entanglement and squeezing in continuous-variable systems

We introduce a multi-mode squeezing coefficient to characterize entanglement in $N$-partite continuous-variable systems. The coefficient relates to the squeezing of collective observables in the $2N$-dimensional phase space and can be readily extracted from the covariance matrix. Simple extensions f...

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Main Authors: Manuel Gessner, Luca Pezzè, Augusto Smerzi
Format: Article
Language:English
Published: Verein zur Förderung des Open Access Publizierens in den Quantenwissenschaften 2017-07-01
Series:Quantum
Online Access:https://quantum-journal.org/q-2017-07-14-17/pdf/
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spelling doaj-9bbf025ec989462a87d56c3dece332922020-11-25T01:28:16ZengVerein zur Förderung des Open Access Publizierens in den QuantenwissenschaftenQuantum2521-327X2017-07-0111710.22331/q-2017-07-14-1710.22331/q-2017-07-14-17Entanglement and squeezing in continuous-variable systemsManuel GessnerLuca PezzèAugusto SmerziWe introduce a multi-mode squeezing coefficient to characterize entanglement in $N$-partite continuous-variable systems. The coefficient relates to the squeezing of collective observables in the $2N$-dimensional phase space and can be readily extracted from the covariance matrix. Simple extensions further permit to reveal entanglement within specific partitions of a multipartite system. Applications with nonlinear observables allow for the detection of non-Gaussian entanglement.https://quantum-journal.org/q-2017-07-14-17/pdf/
collection DOAJ
language English
format Article
sources DOAJ
author Manuel Gessner
Luca Pezzè
Augusto Smerzi
spellingShingle Manuel Gessner
Luca Pezzè
Augusto Smerzi
Entanglement and squeezing in continuous-variable systems
Quantum
author_facet Manuel Gessner
Luca Pezzè
Augusto Smerzi
author_sort Manuel Gessner
title Entanglement and squeezing in continuous-variable systems
title_short Entanglement and squeezing in continuous-variable systems
title_full Entanglement and squeezing in continuous-variable systems
title_fullStr Entanglement and squeezing in continuous-variable systems
title_full_unstemmed Entanglement and squeezing in continuous-variable systems
title_sort entanglement and squeezing in continuous-variable systems
publisher Verein zur Förderung des Open Access Publizierens in den Quantenwissenschaften
series Quantum
issn 2521-327X
publishDate 2017-07-01
description We introduce a multi-mode squeezing coefficient to characterize entanglement in $N$-partite continuous-variable systems. The coefficient relates to the squeezing of collective observables in the $2N$-dimensional phase space and can be readily extracted from the covariance matrix. Simple extensions further permit to reveal entanglement within specific partitions of a multipartite system. Applications with nonlinear observables allow for the detection of non-Gaussian entanglement.
url https://quantum-journal.org/q-2017-07-14-17/pdf/
work_keys_str_mv AT manuelgessner entanglementandsqueezingincontinuousvariablesystems
AT lucapezze entanglementandsqueezingincontinuousvariablesystems
AT augustosmerzi entanglementandsqueezingincontinuousvariablesystems
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