Modeling Quantum Behavior in the Framework of Permutation Groups
Laboratory of Information Technologies, Joint Institute for Nuclear Research, 141980 Dubna, Moscow Region, Russia
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Published online: 14 February 2018
Quantum-mechanical concepts can be formulated in constructive finite terms without loss of their empirical content if we replace a general unitary group by a unitary representation of a finite group. Any linear representation of a finite group can be realized as a subrepresentation of a permutation representation. Thus, quantum-mechanical problems can be expressed in terms of permutation groups. This approach allows us to clarify the meaning of a number of physical concepts. Combining methods of computational group theory with Monte Carlo simulation we study a model based on representations of permutation groups.
© The Authors, published by EDP Sciences, 2018
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