Maximum-likelihood reconstruction of CP maps

Details Maximum-likelihood reconstruction of CP maps Maximum-likelihood reconstruction of CP maps

2000-09-26

arxiv.org/abs/quant-ph/0009104v1

Phys. Rev. A 63, 054104 (2001)

Physics

Quantum Physics

4 pages, 2 figures, 1 table

Scientific paper

10.1103/PhysRevA.63.054104

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 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 $\cal H$ to $\cal K$ and linear operators in ${\cal K}\otimes {\cal H}$. 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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