Maximum-likelihood reconstruction of CP maps

Abstract

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

4 pages, 2 figures, 1 table

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• Local environment can enhance fidelity of quantum teleportation
• Bell Measurements and Observables
• Parameters estimation in quantum optics
• Positive Maps Which Are Not Completely Positive

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