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Quantum systems and representation theorem

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Abstract

In this paper we investigate quantum systems which are locally convex versions of abstract operator systems. Our approach is based on the duality theory for unital quantum cones. We prove the unital bipolar theorem and provide a representation theorem for a quantum system being represented as a quantum \(L^{\infty }\)-system.

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  1. Middle East Technical University Northern Cyprus Campus, Guzelyurt, KKTC, Mersin 10, Turkey

    Anar Dosi

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  1. Anar Dosi
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Correspondence to Anar Dosi.

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Dosi, A. Quantum systems and representation theorem. Positivity 17, 841–861 (2013). https://doi.org/10.1007/s11117-012-0208-2

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  • DOI: https://doi.org/10.1007/s11117-012-0208-2

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