Summary
In quantum measurement theory a central notion is that of instrument, which is a certain kind of operator-valued measure. In this paper instruments on locally compact groups are studied and, as in classical probability theory, probability operators associated with instruments are introduced. Then, the generator of a norm continuous semigroup of probability operators is characterized.
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Barchielli, A. Probability operators and convolution semigroups of instruments in quantum probability. Probab. Th. Rel. Fields 82, 1–8 (1989). https://doi.org/10.1007/BF00340008
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DOI: https://doi.org/10.1007/BF00340008
Keywords
- Stochastic Process
- Convolution
- Probability Theory
- Statistical Theory
- Compact Group