# An operational approach to quantum probability

@article{Davies1970AnOA, title={An operational approach to quantum probability}, author={E. B. Davies and John T. Lewis}, journal={Communications in Mathematical Physics}, year={1970}, volume={17}, pages={239-260} }

In order to provide a mathmatical framework for the process of making repeated measurements on continuous observables in a statistical system we make a mathematical definition of an instrument, a concept which generalises that of an observable and that of an operation. It is then possible to develop such notions as joint and conditional probabilities without any of the commutation conditions needed in the approach via observables. One of the crucial notions is that of repeatability which we…

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