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Multi-party Pseudo-Telepathy

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Algorithms and Data Structures (WADS 2003)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 2748))

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Abstract

Quantum entanglement, perhaps the most non-classical manifestation of quantum information theory, cannot be used to transmit information between remote parties. Yet, it can be used to reducethe amount of communication required to process a variety of distributedcomputational tasks. We speak of pseudo-telepathy when quantum entanglementserves to eliminate the classical need to communicate. In earlier examples of pseudo-telepathy, classical protocols could succeedwith high probability unless the inputs were very large. Here we present a simple multi-party distributed problem for which the inputsand outputsconsist of a single bit per player, and we present a perfectquantum protocolfor it. We prove that no classical protocol can succeedwith a probability that differs from 1/2 by more than a fraction that is exponentially small in the number of players. This could be used to circumvent the detection loophole in experimental tests of nonlocality.

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© 2003 Springer-Verlag Berlin Heidelberg

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Brassard, G., Broadbent, A., Tapp, A. (2003). Multi-party Pseudo-Telepathy. In: Dehne, F., Sack, JR., Smid, M. (eds) Algorithms and Data Structures. WADS 2003. Lecture Notes in Computer Science, vol 2748. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-45078-8_1

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  • DOI: https://doi.org/10.1007/978-3-540-45078-8_1

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-40545-0

  • Online ISBN: 978-3-540-45078-8

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