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Maximum-likelihood estimation of quantum measurement

Jaromir Fiurasek
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Abstract

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

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Jaromir Fiurasek. 2001-01-12. Maximum-likelihood estimation of quantum measurement. https://doi.org/10.1103/physreva.64.024102

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