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Foundations of Physics

, Volume 36, Issue 4, pp 512–525 | Cite as

Communication Complexity as a Principle of Quantum Mechanics

  • Adán CabelloEmail author
Article

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 theprobability 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 suitaby chosen set of communication complexity problems could be the basis of an information-theoretic axiomatization of quantum mechanics.

Keywords

Bell’s inequalities communication complexity foundations of quantum mechanics quantum communication quantum correlations Tsirelson’s inequalities 

PACS

03.65.Ud 03.65.Ta 

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Copyright information

© Springer Science+Business Media, Inc. 2006

Authors and Affiliations

  1. 1.Departamento de Física Aplicada IIUniversidad de SevillaSevillaSpain

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