Minimal sets of dequantizers and quantizers for finite-dimensional quantum systems

被引：8
|
作者：
Adam, P. [1 ]
Andreev, V. A. [2 ]
Isar, A. [3 ]
Man'ko, M. A. [2 ]
Man'ko, V. I. [2 ]
机构：
[1] Hungarian Acad Sci, Inst Solid State Phys & Opt, Wigner Res Ctr Phys, POB 49, H-1525 Budapest, Hungary
[2] PN Lebedev Phys Inst, Leninskii Prospect 53, Moscow 119991, Russia
[3] Natl Inst Phys & Nucl Engn, POB MG6, Bucharest, Romania
来源：
PHYSICS LETTERS A | 2017年 / 381卷 / 34期
关键词：
Quasi-probability distributions; Star product; Symbol; Quantizer; Dequantizer; Discrete Wigner function; WIGNER FUNCTIONS; PHASE-SPACE; PROBABILITY-DISTRIBUTION; TOMOGRAPHY; MECHANICS; STATES; DISTRIBUTIONS; OPERATORS; UNITARY; BASES;
D O I：
10.1016/j.physleta.2017.06.042
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
The problem of finding and characterizing minimal sets of dequantizers and quantizers applied in the mapping of operators onto functions is considered, for finite-dimensional quantum systems. The general properties of such sets are determined. An explicit description of all the minimum self-dual sets of dequantizers and quantizers for a qubit system is derived. (C) 2017 Elsevier B.V. All rights reserved.
引用
收藏
页码：2778 / 2782
页数：5
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