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arxiv: 1401.1155 · v1 · pith:36D2ZNYEnew · submitted 2014-01-06 · 🪐 quant-ph · math.RA

Two-valued states on Baer ^*-semigroups

classification 🪐 quant-ph math.RA
keywords statestwo-valuedbaersemigroupsalgebraicallowsapplyapproach
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In this paper we develop an algebraic framework that allows us to extend families of two-valued states on orthomodular lattices to Baer $^*$-semigroups. We apply this general approach to study the full class of two-valued states and the subclass of Jauch-Piron two-valued states on Baer $^*$-semigroups.

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