Complete characterization of extreme quantum observables in infinite dimensions

被引：24
作者：
Pellonpaa, Juha-Pekka [1 ]
机构：
[1] Univ Turku, Dept Phys & Astron, Turku Ctr Quantum Phys, FI-20014 Turku, Finland
来源：
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL | 2011年 / 44卷 / 08期
关键词：
D O I：
10.1088/1751-8113/44/8/085304
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We give a complete characterization for extreme quantum observables, i.e. for normalized positive operator valued measures (POVMs) which are extremals in the convex set of all POVMs. The characterization is valid both in discrete and continuous cases, and also in the case of an infinite-dimensional Hilbert space. We show that sharp POVMs are pre-processing clean, i.e. they cannot be irreversibly connected to other POVMs via quantum channels.
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页数：12
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