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Multi-party Quantum Communication Complexity with Routed Messages

  • Seiichiro Tani
  • Masaki Nakanishi
  • Shigeru Yamashita
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 5092)

Abstract

This paper describes a general quantum lower bounding technique for the communication complexity of a function that depends on the inputs given to two parties connected via paths, which may be shared with other parties, on a network of any topology. The technique can also be employed to obtain a lower-bound of the quantum communication complexity of some functions that depend on the inputs distributed over all parties on the network. As a typical application, we apply our technique to the distinctness problem of deciding whether there are at least two parties with identical inputs, on a k-party ring; almost matching upper bounds are also given.

Keywords

Boolean Function Error Probability Communication Complexity Random String Distinct Ring 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2008

Authors and Affiliations

  • Seiichiro Tani
    • 1
  • Masaki Nakanishi
    • 2
  • Shigeru Yamashita
    • 2
  1. 1.NTT Communication Science LaboratoriesNTT Corporation 
  2. 2.Graduate School of Information ScienceNara Institute of Science and Technology 

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