Star product, discrete Wigner functions, and spin-system tomograms
From MaRDI portal
Publication:297952
DOI10.1134/S0040577916030041zbMath1338.81250OpenAlexW2334628513MaRDI QIDQ297952
F. Blanchet-Sadri, M. Dambrine
Publication date: 20 June 2016
Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1134/s0040577916030041
Geometry and quantization, symplectic methods (81S10) Phase-space methods including Wigner distributions, etc. applied to problems in quantum mechanics (81S30) Deformation quantization, star products (53D55)
Related Items (4)
Minimal sets of dequantizers and quantizers for finite-dimensional quantum systems ⋮ The discrete center-of-mass tomogram ⋮ Quantizer-dequantizer operators as a tool for formulating the quantization procedure ⋮ Integral transforms between tomogram and quasi-probability functions based on quantizer-dequantizer operators formalism
Cites Work
- Unnamed Item
- Unnamed Item
- A transformational property of the Husimi function and its relation to the Wigner function and symplectic tomograms
- Semigroup of positive maps for qudit states and entanglement in tomographic probability representation
- The Frobenius formalism in Galois quantum systems
- Quantum mechanics in a discrete space-time
- Positive distribution description for spin states.
- Operator method for calculating \(Q\) symbols and their relation to Weyl-Wigner symbols and symplectic tomogram symbols
- Construction of the mutually orthogonal extraordinary supersquares
- Star product algebras of test functions
- Discrete phase space based on finite fields
- UNITARY OPERATOR BASES
- Wigner–Weyl correspondence in quantum mechanics for continuous and discrete systems—a Dirac-inspired view
- An introduction to the tomographic picture of quantum mechanics
- Geometrical approach to mutually unbiased bases
- Alternative commutation relations, star products and tomography
- On the Quantum Correction For Thermodynamic Equilibrium
- Quantum optical implementation of Grover's algorithm
- Algebras with convergent star products and their representations in Hilbert spaces
- Equivalence of Semiclassical and Quantum Mechanical Descriptions of Statistical Light Beams
- On the principles of elementary quantum mechanics
- General form of the \(*\)-product on the Grassmann algebra
This page was built for publication: Star product, discrete Wigner functions, and spin-system tomograms
