Discrete phase-space mappings, tomographic condition and permutation invariance
From MaRDI portal
Publication:2987999
DOI10.1088/1751-8121/aa5fb5zbMath1364.81171arXiv1603.00916OpenAlexW3100616197MaRDI QIDQ2987999
Carlos Muñoz, Andrei B. Klimov
Publication date: 18 May 2017
Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1603.00916
Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Phase-space methods including Wigner distributions, etc. applied to problems in quantum mechanics (81S30) Quantum coherence, entanglement, quantum correlations (81P40) Quantum information, communication, networks (quantum-theoretic aspects) (81P45)
Related Items
On the discrete Wigner function for $\mathrm{SU(N)}$ ⋮ A family of Weyl-Wigner transforms for discrete variables defined in a finite-dimensional Hilbert space ⋮ Generalized reduction formula for discrete Wigner functions of multiqubit systems ⋮ Picturing quantum phase transitions
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- General concept of quantization
- On the quantum discord of general \(X\) states
- Quantization of linear maps on a torus-Fresnel diffraction by a periodic grating
- Discrete phase-space structure of \(n\)-qubit mutually unbiased bases
- The Moyal representation for spin
- Discrete coherent states and probability distributions in finite-dimensional spaces
- The Weyl representation on the torus
- Graph states in phase space
- Symmetric discrete coherent states forn-qubits
- Wigner–Weyl isomorphism for quantum mechanics on Lie groups
- General approach to \mathfrak {SU}(n) quasi-distribution functions
- Stabilizer states and Clifford operations for systems of arbitrary dimensions and modular arithmetic
- Discrete phase space based on finite fields
- UNITARY OPERATOR BASES
- UNITARY TRANSFORMATIONS AND THE ACTION PRINCIPLE
- Geometrical approach to the discrete Wigner function in prime power dimensions
- Jacobi ϑ-functions and discrete Fourier transforms
- ON MUTUALLY UNBIASED BASES
- Eigenvalues and eigenvectors of the finite Fourier transform
- Finite-dimensional Schwinger basis, deformed symmetries, Wigner function, and an algebraic approach to quantum phase
- The angle-angular momentum quantum phase space
- Factorization in finite quantum systems
- Quantum-State Tomography and Discrete Wigner Function
- Time evolution of the Wigner function in discrete quantum phase space for a soluble quasi-spin model
- Wigner distributions and quantum mechanics on Lie groups: The case of the regular representation
- Coherent, isotropic and squeezed states in anN-qubit system
- Discrete Wigner function for finite-dimensional systems
- Corrigendum: Negative quasi-probability as a resource for quantum computation
- SPIN SQUEEZING AND ENTANGLEMENT VIA FINITE-DIMENSIONAL DISCRETE PHASE-SPACE DESCRIPTION
- Extended Cahill–Glauber formalism for finite-dimensional spaces: I. Fundamentals
- THE SPECIAL CANONICAL GROUP
- Equivalence of Semiclassical and Quantum Mechanical Descriptions of Statistical Light Beams
