Maximum-likelihood estimation of quantum measurement
By Jaromír Fiurásek. 2001
162 citations recorded by the source corpus.
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.
Subfields: Artificial Intelligence, Atomic and Molecular Physics, and Optics
View Paper: https://www.semanticscholar.org/paper/da716697d3224ae156c959de76465881a886f6c0
How researchers see this paper
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In Artificial Intelligence
- Timothy C. Ralph
- Martin Bodo Plenio
- Jens Eisert
- Christine Silberhorn
- Á. Feito
- H. Coldenstrodt-Ronge
- Ian A. Walmsley
- Jeff S. Lundeen
In Atomic and Molecular Physics, and Optics
- Timothy C. Ralph
- Jens Eisert
- Martin Bodo Plenio
- Á. Feito
- H. Coldenstrodt-Ronge
- Ian A. Walmsley
- Christine Silberhorn
- Jeff S. Lundeen
Citations in the corpus
- Circuit quantum electrodynamics (2010, background): “In general, complete characterization of a POVM via detector tomography [126–129] requires many measurements and a numerical optimization procedure to ensure the resulting POVM remains physical.”
- Tomography of quantum detectors (2009, methodology): “For a POVM set {πn} containing only diagonal matrices as in equation (3) that are each truncated at a number state M , we can rewrite equation (2) as a matrix equation,”