Statistical decision theory for quantum systems

A. S. Holevo

Journal of Multivariate Analysis, 1973, vol. 3, issue 4, 337-394

Abstract: Quantum statistical decision theory arises in connection with applied problems of optimal detection and processing of quantum signals. In this paper we give a systematic treatment of this theory, based on operator-valued measures. We study the existence problem for optimal measurements and give sufficient and necessary conditions for optimality. The notion of the maximum likelihood measurement is introduced and investigated. The general theory is then applied to the case of Gaussian (quasifree) states of Bose systems, for which optimal measurements of the mean value are found.

Keywords: Quantum; measurement; positive; operator-valued; measure; Gaussian; state; coherent; state; canonical; measurement (search for similar items in EconPapers)
Date: 1973
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Citations: View citations in EconPapers (3)

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