Gaussian states that are invariant under partial anti-symplectic transformation are separable

2020 ◽  
Vol 74 (8) ◽  
Author(s):  
Shan Ma
Keyword(s):  
Symplectic Transformation ◽  
Gaussian States

scholarly journals One-particle and two-particle visibilities in bipartite entangled Gaussian states

2021 ◽  
Vol 103 (6) ◽  
Author(s):  
Danko Georgiev ◽  
Leon Bello ◽  
Avishy Carmi ◽  
Eliahu Cohen
Keyword(s):  
Gaussian States

scholarly journals Gaussian quantum states can be disentangled using symplectic rotations

2021 ◽  
Vol 111 (3) ◽  
Author(s):  
Maurice A. de Gosson
Keyword(s):  
Quantum State ◽  
Covariance Matrices ◽  
Quantum States ◽  
Weyl Quantization ◽  
Symplectic Transformation ◽  
Metaplectic Operator

AbstractWe show that every Gaussian mixed quantum state can be disentangled by conjugation with a passive symplectic transformation, that is a metaplectic operator associated with a symplectic rotation. The main tools we use are the Werner–Wolf condition on covariance matrices and the symplectic covariance of Weyl quantization. Our result therefore complements a recent study by Lami, Serafini, and Adesso.

scholarly journals On the entanglement of formation of two-mode Gaussian states: a compact form

2015 ◽  
Vol 14 (11) ◽  
pp. 4179-4199 ◽  
Author(s):  
Y. Akbari-Kourbolagh ◽  
H. Alijanzadeh-Boura
Keyword(s):  
Compact Form ◽  
Gaussian States ◽  
Entanglement Of Formation
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