Extrema of discrete Wigner functions and applications

被引：25

作者：

Casaccino, Andrea ^{[1
]}

Galvao, Ernesto F. ^{[2
]}

Severini, Simone ^{[3
,4
]}

机构：

[1] Univ Siena, Dept Informat Engn, I-53100 Siena, Italy

[2] Univ Fed Fluminense, Inst Fis, BR-24210340 Niteroi, RJ, Brazil

[3] Univ Waterloo, Inst Quantum Comp, Waterloo, ON N2L 3G1, Canada

[4] Univ Waterloo, Dept Combinator & Optimizat, Waterloo, ON N2L 3G1, Canada

来源：

PHYSICAL REVIEW A | 2008年 / 78卷 / 02期

关键词：

Discrete phase space - Discrete Wigner function - Finite fields - Phase-space points - Quantum information applications - Quantum state - Random access codes - Space dimensions;

D O I：

10.1103/PhysRevA.78.022310

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

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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