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Phys. Rev. A 64, 024102 (2001) [4 pages]

Maximum-likelihood estimation of quantum measurement

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Jaromír Fiurášek
Department of Optics, Palacký University, 17 Listopadu 50, 772 07 Olomouc, Czech Republic

Received 15 January 2001; published 17 July 2001

Maximum-likelihood estimation is applied to the determination of an unknown quantum measurement. The calibrated measuring apparatus carries out measurements on many different quantum states and the positive operator-valued measure governing the measurement statistics is then inferred from the collected data via the maximum-likelihood principle. In contrast to the procedures based on linear inversion, our approach always provides a physically sensible result. We illustrate the method on the case of the Stern-Gerlach apparatus.

© 2001 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevA.64.024102
DOI:
10.1103/PhysRevA.64.024102
PACS:
03.65.Ta, 03.65.Wj