The underlying probabilistic theory for quantum mechanics is non-Kolmogorovian. The time-order in which physical observables are measured will be important if they are incompatible (non-commuting). In particular, the notion of conditioning needs to be handled with care and may not even exist in some cases. Here we layout the quantum probabilistic formulation in terms of von Neumann algebras and outline conditions (non-demolition properties) under which filtering may occur
A history of the discovery of quantum mechanics and paradoxes of its interpretation is reconsidered ...
The main thesis advocated in the present paper is that some well-established laws of classical proba...
Abstract. The development of quantum measurement theory, initiated by von Neumann, only indicated a ...
The underlying probabilistic theory for quantum mechanics is non-Kolmogorovian. The time-order in wh...
It is shown that Kolmogorovian probability models, like stochastic mechanics, are compatible with th...
Abstract It is shown that Kolmogorovian probability models, like stochastic mechanics, are compati...
We give a tutorial exposition of the analogue of the filtering equation for quantum systems focusing...
The mathematics of classical probability theory was subsumed into classical measure theory by Kolmog...
Philosophical accounts of quantum theory commonly suppose that the observables of a quantum system f...
We derive the basic postulates of quantum physics from a few very simple and easily testable operati...
In D’Ariano in Philosophy of Quantum Information and Entanglement, Cambridge University Press, Cambr...
This paper argues that von Neumann’s work on the theory of ‘rings of operators’ has the same role an...
The development of quantum measurement theory, initiated by von Neumann, only indicated a possibilit...
Chapter 1: On the existence of quantum representations for two dichotomic measurements. Under which ...
These lecture notes provide an introduction to quantum filtering and its applications in quantum opt...
A history of the discovery of quantum mechanics and paradoxes of its interpretation is reconsidered ...
The main thesis advocated in the present paper is that some well-established laws of classical proba...
Abstract. The development of quantum measurement theory, initiated by von Neumann, only indicated a ...
The underlying probabilistic theory for quantum mechanics is non-Kolmogorovian. The time-order in wh...
It is shown that Kolmogorovian probability models, like stochastic mechanics, are compatible with th...
Abstract It is shown that Kolmogorovian probability models, like stochastic mechanics, are compati...
We give a tutorial exposition of the analogue of the filtering equation for quantum systems focusing...
The mathematics of classical probability theory was subsumed into classical measure theory by Kolmog...
Philosophical accounts of quantum theory commonly suppose that the observables of a quantum system f...
We derive the basic postulates of quantum physics from a few very simple and easily testable operati...
In D’Ariano in Philosophy of Quantum Information and Entanglement, Cambridge University Press, Cambr...
This paper argues that von Neumann’s work on the theory of ‘rings of operators’ has the same role an...
The development of quantum measurement theory, initiated by von Neumann, only indicated a possibilit...
Chapter 1: On the existence of quantum representations for two dichotomic measurements. Under which ...
These lecture notes provide an introduction to quantum filtering and its applications in quantum opt...
A history of the discovery of quantum mechanics and paradoxes of its interpretation is reconsidered ...
The main thesis advocated in the present paper is that some well-established laws of classical proba...
Abstract. The development of quantum measurement theory, initiated by von Neumann, only indicated a ...
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