Commutative POVMs and Fuzzy Observables

被引：47
作者：
Ali, S. Twareque [1 ]
Carmeli, Claudio [2 ,5 ]
Heinosaari, Teiko [3 ,4 ]
Toigo, Alessandro [5 ,6 ]
机构：
[1] Concordia Univ, Dept Math & Stat, Montreal, PQ H3G 1M8, Canada
[2] Univ Genoa, Dipartimento Fis, Genoa, Italy
[3] Univ Copenhagen, Niels Bohr Inst, DK-2100 Copenhagen, Denmark
[4] Univ Turku, Dept Phys, SF-20500 Turku, Finland
[5] Ist Nazl Fis Nucl, Sez Genova, I-16146 Genoa, Italy
[6] Univ Genoa, Dipartimento Informat, Genoa, Italy
来源：
FOUNDATIONS OF PHYSICS | 2009年 / 39卷 / 06期
关键词：
Commutative POVM; Fuzzy observable; Joint measurement; QUANTUM-MECHANICS;
D O I：
10.1007/s10701-009-9292-y
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
In this paper we review some properties of fuzzy observables, mainly as realized by commutative positive operator valued measures. In this context we discuss two representation theorems for commutative positive operator valued measures in terms of projection valued measures and describe, in some detail, the general notion of fuzzification. We also make some related observations on joint measurements.
引用
收藏
页码：593 / 612
页数：20
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