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.
Probability operators and convolution semigroups of instruments in quantum probability
BARCHIELLI, ALBERTO
1989-01-01
Abstract
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.File in questo prodotto:
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