Canonical approximate quantum measurements

DOI10.1063/1.530272zbMath0991.46041OpenAlexW2079285405MaRDI QIDQ4276783

Masanao Ozawa

Publication date: 1 July 2002

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.530272

zbMATH Keywords

Wigner formulajoint probability distributionroot-mean-square errorsdiscrete observablescontinuous observablesDavies's covariant instrument for approximate position measurementsuccessive canonical measurementsvon Neumann-Lüders collapse postulatevon Neumann's model of measuring interaction

Mathematics Subject Classification ID

Quantum measurement theory, state operations, state preparations (81P15) Applications of functional analysis in quantum physics (46N50)

Related Items (7)

State change, quantum probability, and information in operational phase-space measurement ⋮ Quantum chaos: An entropy approach ⋮ Radon–Nikodym derivatives of quantum instruments ⋮ Measurement theory in local quantum physics ⋮ Operational characterization of simultaneous measurements in quantum mechanics ⋮ Uncertainty relations for noise and disturbance in generalized quantum measurements ⋮ Position measuring interactions and the Heisenberg uncertainty principle

Cites Work

• Conditional probability and a posteriori states in quantum mechanics
• An operational approach to quantum probability
• On the repeated measurement of continuous observables in quantum mechanics
• Conditional expectation in an operator algebra
• Concepts of conditional expectations in quantum theory
• An Algebraic Approach to Quantum Field Theory
• The Problem of Measurement
• Analyticity in Operator Algebras
• THE ALGEBRA OF MICROSCOPIC MEASUREMENT

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