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Derivation of Born Rule from Algebraic and Statistical Axioms

Quantum Physics 2013-05-02 v2 Mathematical Physics math.MP Probability Statistics Theory Statistics Theory

Abstract

In the present paper we propose a new axiomatic system of algebraic and statistical axioms as working hypotheses, from which Born rule can be seen to emerge. In this process the concept of sectors defined as quasi-equivalence classes of factor states plays a crucial role.

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Cite

@article{arxiv.1304.6618,
  title  = {Derivation of Born Rule from Algebraic and Statistical Axioms},
  author = {Izumi Ojima and Kazuya Okamura and Hayato Saigo},
  journal= {arXiv preprint arXiv:1304.6618},
  year   = {2013}
}

Comments

12 pages