# New algorithm to calculate the covariance matrix of an arbitrary form of Gaussian state

New algorithm to calculate the covariance matrix of an arbitrary form of Gaussian state A new algorithm is put forward to calculate the covariance matrix of an arbitrary form of Gaussian state. Through this algorithm, we find the correlation between operator correlation matrix $${\varvec{\Omega }}$$ Ω and covariance matrix $${\mathbf {V}}$$ V while $${\varvec{\Omega }}$$ Ω can be provided by using IWOP technique in general. As an application of the algorithm, we give the covariance matrix of n-mode squeezed state successfully. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Quantum Information Processing Springer Journals

# New algorithm to calculate the covariance matrix of an arbitrary form of Gaussian state

, Volume 14 (10) – Aug 2, 2015
11 pages
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/lp/springer_journal/new-algorithm-to-calculate-the-covariance-matrix-of-an-arbitrary-form-IWUECZ6HKF
Publisher
Springer US
Copyright
Copyright © 2015 by Springer Science+Business Media New York
Subject
Physics; Quantum Information Technology, Spintronics; Quantum Computing; Data Structures, Cryptology and Information Theory; Quantum Physics; Mathematical Physics
ISSN
1570-0755
eISSN
1573-1332
D.O.I.
10.1007/s11128-015-1086-x
Publisher site
See Article on Publisher Site

### Abstract

A new algorithm is put forward to calculate the covariance matrix of an arbitrary form of Gaussian state. Through this algorithm, we find the correlation between operator correlation matrix $${\varvec{\Omega }}$$ Ω and covariance matrix $${\mathbf {V}}$$ V while $${\varvec{\Omega }}$$ Ω can be provided by using IWOP technique in general. As an application of the algorithm, we give the covariance matrix of n-mode squeezed state successfully.

### Journal

Quantum Information ProcessingSpringer Journals

Published: Aug 2, 2015

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