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13 papers · 1 filter
Measurement problem: from de Broglie to theory of classical random fields interacting with threshold detectors
Andrei Khrennikov
The quantum measurement problem as was formulated by von Neumann in 1933 can be solved by going beyond the operational quantum formalism. In our "prequantum model" quantum systems…
Source Coding Problems with Conditionally Less Noisy Side Information
Roy Timo, Tobias J. Oechtering, Michèle Wigger
A computable expression for the rate-distortion (RD) function proposed by Heegard and Berger has eluded information theory for nearly three decades. Heegard and Berger's single-let…
Observables Generalizing Positive Operator Valued Measures
Irina Basieva, Andrei Khrennikov
We discuss a generalization of POVM which is used in quantum-like modeling of mental processing.
Born's rule from statistical mechanics of classical fields: from hitting times to quantum probabilities
Andrei Khrennikov
We show that quantum probabilities can be derived from statistical mechanics of classical fields. We consider Brownian motion in the space of fields and show that such a random fie…
Criteria of measure-preserving for -adic dynamical systems in terms of the van der Put basis
Andrei Khrennikov, Ekaterina Yurova
This paper is devoted to (discrete) -adic dynamical systems, an important domain of algebraic and arithmetic dynamics. We consider the following open problem from theory of -…
Vaxjo Interpretation of Wave Function: 2012
Andrei Khrennikov
We discuss the problem of interpretation of the wave function. The latest version of the Växjö interpretation is presented. It differs essentially from the original Växjö interpret…