Maximum-likelihood reconstruction of completely positive maps

被引：46
|
作者：
Sacchi, MF
机构：
[1] Univ London Imperial Coll Sci Technol & Med, Blackett Lab, Opt Sect, London SW7 2BZ, England
[2] Univ Pavia, Dipartimento Fis A Volta, I-27100 Pavia, Italy
[3] Univ Pavia, Unita INFM, I-27100 Pavia, Italy
来源：
PHYSICAL REVIEW A | 2001年 / 63卷 / 05期
关键词：
D O I：
10.1103/PhysRevA.63.054104
中图分类号：
O43 [光学];
学科分类号：
070207 ; 0803 ;
摘要：
We present a method for the determination of the completely positive (CP) map describing a physical device based on random preparation of the input states, random measurements at the output, and the maximum-likelihood principle. In the numerical implementation the constraint of completely positivity can be imposed by exploiting the isomorphism between linear transformations from Hilbert spaces H to K and linear operators in K circle timesH. The effectiveness of the method is shown on the basis of some examples of reconstruction of CP maps related to quantum communication channels for qubits.
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页数：4
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