Weyl quantization and metaplectic representation

2008 ◽  
pp. 515-517
Author(s):  
G. Burdet ◽  
M. Perrin
Keyword(s):  
Weyl Quantization ◽  
Metaplectic Representation

Weyl quantization and metaplectic representation

1977 ◽  
Vol 2 (2) ◽  
pp. 93-99 ◽  
Author(s):  
G. Burdet ◽  
M. Perrin
Keyword(s):  
Weyl Quantization ◽  
Metaplectic Representation

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 distributions corresponding to bounded operators in the Weyl quantization

1980 ◽  
Vol 75 (3) ◽  
pp. 229-238 ◽  
Author(s):  
Ingrid Daubechies
Keyword(s):  
Weyl Quantization ◽  
Bounded Operators

scholarly journals Reproducing Groups for the Metaplectic Representation

2006 ◽  
pp. 227-244 ◽  
Author(s):  
E. Cordero ◽  
F. De Mari ◽  
K. Nowak ◽  
A. Tabacco
Keyword(s):  
Metaplectic Representation

scholarly journals Torus as phase space: Weyl quantization, dequantization, and Wigner formalism

2016 ◽  
Vol 57 (8) ◽  
pp. 082110 ◽  
Author(s):  
Marilena Ligabò
Keyword(s):  
Phase Space ◽  
Weyl Quantization
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