Derivation of Born Rule from Algebraic and Statistical Axioms

Izumi Ojima, Kazuya Okamura, Hayato Saigo

Published 2013-04-24, updated 2013-05-01Version 2

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.