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Calculus for Non-Compatible Observables, Construction Through Conditional States

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Abstract

In this paper we introduce a sum (summability operator) of non-compatible observables on an orthomodular lattice. This sum is based on conditional distributions and conditional expectation.

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Acknowledgments

The authors kindly announce the support of the Science and Technology Assistance Agency under the contract No. APVV-0073-10, and of the VEGA grant agency, grant numbers 1/0143/11 and 1/0297/11.

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Authors and Affiliations

  1. Faculty of Electrical Engineering and Information Technology, Institute of Computer Science and Mathematics, Slovak University of Technology in Bratislava, Ilkovic͂ova 3, 812 19, Bratislava, Slovakia

    Ol’ga Nánásiová

  2. Faculty of Civil Engineering, Department of Mathematics, Slovak University of Technology, Radlinského 11, 813 68, Bratislava, Slovakia

    Martin Kalina

Authors
  1. Ol’ga Nánásiová
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  2. Martin Kalina
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Correspondence to Ol’ga Nánásiová.

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Nánásiová, O., Kalina, M. Calculus for Non-Compatible Observables, Construction Through Conditional States. Int J Theor Phys 54, 506–518 (2015). https://doi.org/10.1007/s10773-014-2243-1

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