Discrete Wigner function and quantum-state tomography

1996/05/01 by Ulf Leonhardt · 1 voice · 1 citation
Computer Science · Physics and Astronomy · #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum Mechanics and Applications

paper · doi:10.1103/physreva.53.2998

openalex publication_date 1996/05/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

The theory of discrete Wigner functions and of discrete quantum-state tomography [U. Leonhardt, Phys. Rev. Lett. 74, 4101 (1995)] is studied in more detail guided by the picture of precession tomography. Odd- and even-dimensional systems (angular momenta and spins, bosons, and fermions) are considered separately. Relations between simple number theory and the quantum mechanics of finite-dimensional systems are pointed out. In particular, the multicomplementarity of the precession states distinguishes prime dimensions from composite ones. \textcopyright 1996 The American Physical Society.

Citations

• Distribution functions in physics: Fundamentals
• Determination of quasiprobability distributions in terms of probability distributions for the rotated quadrature phase
• Elementary gates for quantum computation
• Quantum mechanics as a statistical theory
• On the Quantum Correction For Thermodynamic Equilibrium
• Measurement of number-phase uncertainty relations of optical fields
• The quantum phase problem: a critical review

Cited by

• Cat states in one- and two-mode ℤ₃ Rabi models

Discussions

• By construction, the usual phase space representation, like the one you have, is defined in a continuous-variable phase space. Historically, the formulation can be seen as a method to extend the funct [stackexchange, 2 points]

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