Extrema of discrete Wigner functions and applications
Quantum Physics
2008-09-02 v2
Abstract
We study the class of discrete Wigner functions proposed by Gibbons et al. [Phys. Rev. A 70, 062101 (2004)] to describe quantum states using a discrete phase-space based on finite fields. We find the extrema of such functions for small Hilbert space dimensions, and present a quantum information application: a construction of quantum random access codes. These are constructed using the complete set of phase-space point operators to find encoding states and to obtain the codes' average success rates for Hilbert space dimensions 2,3,4,5,7 and 8.
Keywords
Cite
@article{arxiv.0805.3466,
title = {Extrema of discrete Wigner functions and applications},
author = {Andrea Casaccino and Ernesto F. Galvao and Simone Severini},
journal= {arXiv preprint arXiv:0805.3466},
year = {2008}
}
Comments
7 pages, 1 figure. v2: minor changes, published version