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- W2797742404 abstract "This paper discusses the no-cloning theorem in a logico-algebraic approach. In this approach, an orthoalgebra is considered as a general structure for propositions in a physical theory. We proved that an orthoalgebra admits cloning operation if and only if it is a Boolean algebra. That is, only classical theory admits the cloning of states. If unsharp propositions are to be included in the theory, then a notion of effect algebra is considered. We proved that an atomic Archimedean effect algebra admitting cloning operation is a Boolean algebra. This paper also presents a partial result indicating a relation between cloning on effect algebras and hidden variables." @default.
- W2797742404 created "2018-04-24" @default.
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- W2797742404 date "2009-04-21" @default.
- W2797742404 modified "2023-09-27" @default.
- W2797742404 title "No-Cloning Theorem on Orthoalgebras" @default.
- W2797742404 hasPublicationYear "2009" @default.
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