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Topological Quantum Computing
Quantum Simulation
SU(1,1) covariant s-parametrized maps
arXiv
Authors: Andrei B. Klimov, Ulrich Seyfarth, Hubert de Guise, L. L. Sanchez-Soto
Year
2020
Paper ID
18701
Status
Preprint
Abstract Read
~2 min
Abstract Words
61
Citations
N/A
Abstract
We propose a practical recipe to compute the {s}-parametrized maps for systems with SU(1,1) symmetry using a connection between the {Q} and {P} symbols through the action of an operator invariant under the group. The particular case of the self-dual (Wigner) phase-space functions, defined on the upper sheet of the two-sheet hyperboloid (or, equivalently, inside the Poincaré disc) are analyzed.
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- We propose a practical recipe to compute the s-parametrized maps for systems with SU(1,1) symmetry using a connection between the Q and P symbols through the action of an...
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