Complete parameterization and parameter-space topology of discrete Wigner representations on d times d phase space

arXiv:2609.39119 · quant-ph · Submitted 2026-09-30 · Read on arXiv

quant-ph

Submitted: 2026-09-30

Updated: 2026-10-03

Comments: (v2) Revised abstract, introduction and discussion for clearer scope, literature context and statement of contributions; clarified author contributions. 21 pages, 6 figures. (v1) 21 pages, 6 figures

License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/

Terminology

• Admissibility — 12× in this paper · explained in 2 episodes
• Trace — 11× in this paper · explained in 2 episodes
• Wigner function — 8× in this paper · explained in 2 episodes
• Consistency — 3× in this paper · explained in 3 episodes
• Self-consistency — 2× in this paper · explained in 2 episodes
• Accuracy — 1× in this paper · explained in 1 episode
• Admissibility Conditions — 1× in this paper · explained in 1 episode
• Admissible Space — 1× in this paper · explained in 1 episode
• Australian Research Council — 1× in this paper
• Generalization — 1× in this paper · explained in 13 episodes
• Hilbert Space — 1× in this paper · explained in 2 episodes
• Redundancy — 1× in this paper · explained in 2 episodes

Related papers

• Reconquering Bell sampling on qudits: stabilizer learning and testing, quantum pseudorandomness bounds, and more
• Encrypted clones can leak: Classification of informative subsets in Quantum Encrypted Cloning
• Polynomial-time classical and quantum simulation of quantum impurity models
• A quasiparticle-protected superconducting qubit
• Theory of quantum-enhanced interferometry with general Markovian light sources
• A convergent hierarchy of spectral gap certificates for qubit Hamiltonians