A lower bound on entanglement-assisted quantum communication complexity

Ashley Montanaro, Andreas Winter

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

5 Scopus citations

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.

Original languageEnglish
Title of host publicationAutomata, Languages and Programming - 34th International Colloquium, ICALP 2007, Proceedings
PublisherSpringer Verlag
Pages122-133
Number of pages12
ISBN (Print)3540734198, 9783540734192
DOIs
StatePublished - 2007
Externally publishedYes
Event34th International Colloquium on Automata, Languages and Programming, ICALP 2007 - Wroclaw, Poland
Duration: 9 Jul 200713 Jul 2007

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume4596 LNCS
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Conference

Conference34th International Colloquium on Automata, Languages and Programming, ICALP 2007
Country/TerritoryPoland
CityWroclaw
Period9/07/0713/07/07

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