On observability of N-level quantum systems
type: Item
instance of: scholarly article
title: On observability of N-level quantum systems
zbMATH Open document ID: 0586.46055
DOI: 10.1016/0034-4877(85)90022-9
published in: Reports on Mathematical Physics
publication date: 1985-01-01T00:00:00Z
review text: The purpose of this paper is to discuss necessary and sufficient conditions for observability of N-level quantum systems. We assume that the information about a physical system is given by the mean values \(Tr(\rho (t_ j)A_ i)=m_{A_ i}(t_ j)\), of n self-adjoint operators \(A_ 1,...,A_ n\) on \({\mathcal H}\) at some instants \(t_ 1<t_ 2<...<t_ s\). The question of the minimal number n of operators \(A_ 1,...,A_ n\) (physical quantities \({\mathcal A}_ 1,...,{\mathcal A}_ n)\) for which the quantum system \({\mathcal S}\) is \((A_ 1,...,A_ n)\)-observable is discussed.
Mathematics Subject Classification ID: 46N99
Mathematics Subject Classification ID: 47B25
Mathematics Subject Classification ID: 81Q10
Mathematics Subject Classification ID: 47L60
zbMATH DE Number: 3940014
zbMATH Keywords: observability of N-level quantum systems
zbMATH Keywords: self-adjoint operators
author: Andrzej Jamiołkowski
MaRDI profile type: Publication
full work available at URL: 0034-4877(85)90022-9
OpenAlex ID: W2043060849
cites work: Q4169795
cites work: Q3254327
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cites work: General state changes in quantum theory
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description: scientific article; zbMATH DE number 3940014