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Quantum Entanglement and Communication Complexity

BRICS Report Series

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Field Value
 
Title Quantum Entanglement and Communication Complexity
 
Creator Buhrman, Harry
Cleve, Richard
Dam, Wim van
 
Description We consider a variation of the multi-party communication complexity scenario where the parties are supplied with an extra resource: particlesin an entangled quantum state. We show that, although a priorquantum entanglement cannot be used to simulate a communication channel, it can reduce the communication complexity of functions insome cases. Specifically, we show that, for a particular function among three parties (each of which possesses part of the function's input), a prior quantum entanglement enables them to learn the value of thefunction with only three bits of communication occurring among the parties, whereas, without quantum entanglement, four bits of communication are necessary. We also show that, for a particular two-party probabilistic communication complexity problem, quantum entanglementresults in less communication than is required with only classicalrandom correlations (instead of quantum entanglement). These results are a noteworthy contrast to the well-known fact that quantum entanglement cannot be used to actually simulate communication amongremote parties.
 
Publisher Aarhus University
 
Date 1997-06-10
 
Type info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
 
Format application/pdf
 
Identifier https://tidsskrift.dk/brics/article/view/18966
10.7146/brics.v4i40.18966
 
Source BRICS Report Series; No 40 (1997): RS-40 Quantum Entanglement and Communication Complexity
BRICS Report Series; Nr. 40 (1997): RS-40 Quantum Entanglement and Communication Complexity
1601-5355
0909-0878
 
Language eng
 
Relation https://tidsskrift.dk/brics/article/view/18966/16605