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arXiv · 0805.3466

Extrema of discrete Wigner functions and applications

Andrea Casaccino·Ernesto F. Galvao·Simone Severini
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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.

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Andrea Casaccino, Ernesto F. Galvao, Simone Severini. 2008-09-01. Extrema of discrete Wigner functions and applications. https://doi.org/10.1103/physreva.78.022310

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