Minimal resources identifiability and estimation of quantum channels |
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Authors: | Mattia Zorzi Francesco Ticozzi Augusto Ferrante |
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Affiliation: | 1. Department of Electrical Engineering and Computer Science, University of Liège, Institut Montefiore B28, 4000?, Liège, Belgium 2. Dipartimento di Ingegneria dell’Informazione, Università di Padova, via Gradenigo 6/B, 35131?, Padua, Italy
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Abstract: | We characterize and discuss the identifiability condition for quantum process tomography, as well as the minimal experimental resources that ensure a unique solution in the estimation of quantum channels, with both direct and convex optimization methods. A convenient parametrization of the constrained set is used to develop a globally converging Newton-type algorithm that ensures a physically admissible solution to the problem. Numerical simulation is provided to support the results and indicate that the minimal experimental setting is sufficient to guarantee good estimates. |
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