Minimal resources identifiability and estimation of quantum channels

Authors:
Mattia Zorzi;Francesco Ticozzi;Augusto Ferrante
Affiliations:
Department of Electrical Engineering and Computer Science, University of Liège, Liège, Belgium 4000;Dipartimento di Ingegneria dell'Informazione, Università di Padova, Padua, Italy 35131;Dipartimento di Ingegneria dell'Informazione, Università di Padova, Padua, Italy 35131
Venue:
Quantum Information Processing
Year:
2014

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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.