An optimization problem from linear filtering with quantum measurements
type: Item
instance of: scholarly article
title: An optimization problem from linear filtering with quantum measurements
zbMATH Open document ID: 0653.93054
DOI: 10.1007/BF01443622
author: John S. Baras
published in: Applied Mathematics and Optimization
publication date: 1988-01-01T00:00:00Z
review text: The paper studies the linear estimation problem for a discrete-time vector signal process based on quantum mechanical measurements. In the vector case, the well-known quantum mechanical problem of simultaneous measurements arises and the concept of generalized quantum measurements has to be used. The problem consists in the joint optimization of the measurement process and of the signal processing coefficients. Necessary and sufficient conditions for optimality as well as results on the existence of optimal linear filters are provided exploiting a suitable formulation of the given problem as an optimization problem.
Mathematics Subject Classification ID: 93E11
Mathematics Subject Classification ID: 81P20
Mathematics Subject Classification ID: 93C05
Mathematics Subject Classification ID: 49J55
Mathematics Subject Classification ID: 49K45
Mathematics Subject Classification ID: 60G35
Mathematics Subject Classification ID: 93E10
Mathematics Subject Classification ID: 93E20
Mathematics Subject Classification ID: 62M20
zbMATH DE Number: 4066757
zbMATH Keywords: linear estimation
zbMATH Keywords: discrete-time vector signal process
zbMATH Keywords: quantum mechanical measurements
zbMATH Keywords: generalized quantum measurements
zbMATH Keywords: Necessary and sufficient conditions for optimality
zbMATH Keywords: existence of optimal linear filters
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 4066757