SCIENCE SPIN-OFFS

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Modeling Quantum Behavior in the Framework of Permutation Groups

Vladimir Kornyak
(Submitted on 4 Sep 2017)

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

https://arxiv.org/abs/1709.01831