A lower bound on entanglement-assisted quantum communication complexity

  • Authors:
  • Ashley Montanaro;Andreas Winter

  • Affiliations:
  • Department of Computer Science, University of Bristol, Bristol, U.K;Department of Mathematics, University of Bristol, Bristol, U.K

  • Venue:
  • ICALP'07 Proceedings of the 34th international conference on Automata, Languages and Programming
  • Year:
  • 2007

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Abstract

We prove a general lower bound on the bounded-error entanglement-assisted quantum communication complexity of Boolean functions. The bound is based on the concept that any classical or quantum protocol to evaluate a function on distributed inputs can be turned into a quantum communication protocol. As an application of this bound, we give a very simple proof of the statement that almost all Boolean functions on n + n bits have communication complexity linear in n, even in the presence of unlimited entanglement.