Informationally complete joint measurements on finite quantum systems

被引：45

作者：

Carmeli, Claudio ^{[1
]}

Heinosaari, Teiko ^{[2
]}

Toigo, Alessandro ^{[3
,4
]}

机构：

[1] Univ Genoa, DIME, I-17100 Savona, Italy

[2] Univ Turku, Dept Phys & Astron, Turku Ctr Quantum Phys, FI-20014 Turku, Finland

[3] Politecn Milan, Dipartimento Matemat, I-20133 Milan, Italy

[4] Ist Nazl Fis Nucl, Sez Milano, I-20133 Milan, Italy

来源：

PHYSICAL REVIEW A | 2012年 / 85卷 / 01期

基金：

芬兰科学院;

关键词：

STATE; OBSERVABLES; REPRESENTATIONS; MECHANICS;

D O I：

10.1103/PhysRevA.85.012109

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

We show that there are informationally complete joint measurements of two conjugated observables on a finite quantum system, meaning that they enable the identification of all quantum states from their measurement outcome statistics. We further demonstrate that it is possible to implement a joint observable as a sequential measurement. If we require minimal noise in the joint measurement, then the joint observable is unique. If d is odd, then this observable is informationally complete. But if d is even, then the joint observable is not informationally complete, and one has to allow more noise in order to obtain informational completeness.

引用

页数：13

共 40 条

[1] Commutative POVMs and Fuzzy Observables [J].