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Quantum Simulation
Entanglement Theory Quantum Correlations
Maximal Covariance Group of Wigner Transforms and Pseudo-Differential Operators
arXiv
Authors: Nuno Costa Dias, Maurice A. de Gosson, João Nuno Prata
Year
2013
Paper ID
33436
Status
Preprint
Abstract Read
~2 min
Abstract Words
58
Citations
N/A
Abstract
We show that the linear symplectic and anti-symplectic transformations form the maximal covariance group for both the Wigner transform and Weyl operators. The proof is based on a new result from symplectic geometry which characterizes symplectic and anti-symplectic matrices, and which allows us, in addition, to refine a classical result on the preservation of symplectic capacities of ellipsoids.
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- This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
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- We show that the linear symplectic and anti-symplectic transformations form the maximal covariance group for both the Wigner transform and Weyl operators.
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