Quantum-State Tomography and Discrete Wigner Function

Ulf Leonhardt

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.

Antoine Royer

Ulf Leonhardt

A tomographical scheme is proposed to infer the quantum states of finite–dimensional systems from experiments. For this a new discrete Wigner formalism is developed.Received 3 January 1995DOI:https://doi.org/10.1103/PhysRevLett.74.4101©1995 American Physical Society

Ludmila Botelho, Reinaldo O. Vianna

Петер Адам, V. A. Andreev, Iulia Ghiu +3 more

Jianing Zhang, Fang, Lei, Mo‐Lin Ge

A new reconstruction method for Wigner function is reported for quantum tomography based on compressed sensing. By analogy with computed tomography, Wigner functions for some quantum states can be reconstructed with less measurements utilizing this compressed sensing based method.