Communication complexity as a principle of quantum mechanics

  • Authors:
  • Adán Cabello

  • Affiliations:
  • Departamento de Física Aplicada II, Universidad de Sevilla, Sevilla, Spain

  • Venue:
  • UC'05 Proceedings of the 4th international conference on Unconventional Computation
  • Year:
  • 2005

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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.