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Communication Complexity as a Principle of Quantum Mechanics

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Unconventional Computation (UC 2005)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 3699))

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Abstract

We introduce a two-party communication complexity problem in which the probability of success by using a particular strategy allows the parties to detect with certainty whether or not some forbidden communication has taken place. We show that the probability of success is bounded by nature; any conceivable method which gives a probability of success outside these bounds is impossible. Moreover, any conceivable method to solve the problem which gives a probability success within these bounds is possible in nature. This example suggests that a suitably chosen set of communication complexity problems could be the basis of an information-theoretic axiomatization of quantum mechanics.

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Author information

Authors and Affiliations

  1. Departamento de Física Aplicada II, Universidad de Sevilla, 41012, Sevilla, Spain

    Adán Cabello

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  1. Adán Cabello
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Editors and Affiliations

  1. Department of Computer Science, University of Auckland, New Zealand

    Cristian S. Calude

  2. Department of Computer Science, University of Auckland, Private Bag 92019, Auckland, New Zealand

    Michael J. Dinneen

  3. Institute of Mathematics of the Romanian Academy, PO Box 1-764, 014700, Bucureşti, Romania

    Gheorghe Păun

  4. Research Group on Natural Computing, Department of Computer Science and Artificial Intelligence, University of Seville, Avda. Reina Mercedes, 41012, Sevilla, Spain

    Mario J. Pérez-Jímenez

  5. Leiden Center of Advanced Computer Science (LIACS), Leiden University, Niels Bohrweg 1, 2333, Leiden, CA, The Netherlands

    Grzegorz Rozenberg

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© 2005 Springer-Verlag Berlin Heidelberg

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Cabello, A. (2005). Communication Complexity as a Principle of Quantum Mechanics. In: Calude, C.S., Dinneen, M.J., Păun, G., Pérez-Jímenez, M.J., Rozenberg, G. (eds) Unconventional Computation. UC 2005. Lecture Notes in Computer Science, vol 3699. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11560319_8

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  • DOI: https://doi.org/10.1007/11560319_8

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-29100-8

  • Online ISBN: 978-3-540-32022-7

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