Conditional probability and a posteriori states in quantum mechanics

DOI10.2977/prims/1195179625zbMath0576.60005OpenAlexW2009871042MaRDI QIDQ1064648

Masanao Ozawa

Publication date: 1985

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2977/prims/1195179625

zbMATH Keywords

quantum mechanicsstatistical theory of quantum measurements

Mathematics Subject Classification ID

Foundations of probability theory (60A99) Stochastic mechanics (including stochastic electrodynamics) (81P20)

Related Items (19)

On the quantum theory of measurements continuous in time ⋮ On Operator Valued Measures ⋮ Canonical approximate quantum measurements ⋮ Constructing quantum measurement processes via classical stochastic calculus ⋮ Conditional expectations, conditional distributions, and a posteriori ensembles in generalized probability theory ⋮ Two versions of the projection postulate: from EPR argument to one-way quantum computing and teleportation ⋮ Quantum chaos: An entropy approach ⋮ On stochastic differential equations and semigroups of probability operators in quantum probability ⋮ Quantum state tomography via sequential uses of the same informationally incomplete measuring apparatus ⋮ The particle structure of the quantum mechanical Bose and Fermi gas ⋮ Controlling quantum state reductions ⋮ Measurement theory in local quantum physics ⋮ Operational characterization of simultaneous measurements in quantum mechanics ⋮ Uncertainty relations for noise and disturbance in generalized quantum measurements ⋮ An operational approach to quantum state reduction ⋮ Quantum correlations and dynamics from classical random fields valued in complex Hilbert spaces ⋮ Position measuring interactions and the Heisenberg uncertainty principle ⋮ Entropy reduction of quantum measurements ⋮ Quantum conditional probabilities

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• On the projection of norm one in $W^ *$-algebras
• Measurement of Quantum Mechanical Operators
• Conditional expectations in generalized probability theory
• Analyticity in Operator Algebras
• Die Messung quantenmechanischer Operatoren

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