Entanglement and squeezing in continuous-variable systems

2017/02/28 by Manuel Gessner, Luca Pezzè, Augusto Smerzi · 3 citations
Computer Science · Physics and Astronomy · #Covariance #Multipartite #Multipartite entanglement #Nonlinear system #Observable #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum entanglement #Simple (philosophy) #Squashed entanglement #Statistical Mechanics and Entropy #quant-ph

paper · pdf · doi:10.22331/q-2017-07-14-17

published as Quantum 1, 17 (2017) · 11 pages, 2 figures

openalex created_date 2016/06/24 · arxiv created 2017/07/12 · openalex publication_date 2017/07/14 · arxiv updated 2017/07/17 · openalex updated_date 2026/08/05

Abstract

We introduce a multi-mode squeezing coefficient to characterize entanglement in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>N</mml:mi></mml:math>-partite continuous-variable systems. The coefficient relates to the squeezing of collective observables in the <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mn>2</mml:mn><mml:mi>N</mml:mi></mml:math>-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.

Citations

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Cited by

• Non-Gaussian Quantum States and Where to Find Them
• Spatially distributed multipartite entanglement enables EPR steering of atomic clouds
• Characterizing the multipartite continuous-variable entanglement structure from squeezing coefficients and the Fisher information