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Quantum Information Processing
Erschienen in: Quantum Information Processing 5/2016

01.05.2016

Collusive attacks to “circle-type” multi-party quantum key agreement protocols

verfasst von: Bin Liu, Di Xiao, Heng-Yue Jia, Run-Zong Liu

Erschienen in: Quantum Information Processing | Ausgabe 5/2016

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Abstract

We find that existing multi-party quantum key agreement (MQKA) protocols designed for fairness of the key are, in fact, unfair. Our analysis shows that these protocols are sensitive to collusive attacks; that is, dishonest participants can collaborate in predetermining the key without being detected. In fact, the transmission structures of the quantum particles in those unfair MQKA protocols, three of which have already been analyzed, have much in common. We call these unfair MQKA protocols circle-type MQKA protocols. Likewise, the transmission structures of the quantum particles in MQKA protocols that can resist collusive attacks are also similar. We call such protocols complete-graph-type MQKA protocols. A MQKA protocol also exists that can resist the above attacks but is still not fair, and we call it the tree-type MQKA protocol. We first point out a common, easily missed loophole that severely compromises the fairness of present circle-type MQKA protocols. Then we show that two dishonest participants at special positions can totally predetermine the key generated by circle-type MQKA protocols. We anticipate that our observations will contribute to secure and fair MQKA protocols, especially circle-type protocols.
Vorheriger Artikel Efficient multiparty quantum key agreement protocol based on commutative encryption
Nächster Artikel On the role of the four-qubit state in two-qubit gate teleportation

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Fußnoten
1
The single states generated in some protocols can be considered as the entangled states where parts of them (\(R_i\)) have already been measured, just like that in the security proof of BB84 [48].
 
2
In fact, \(S_i\) has changed since \(P_i\) has probably inserted some decoy particles in it. And later, other participant will encode their secrets in it and also insert their decoy states in it. However, for simplicity, we call all the sequences which include the particles of \(S_i\) simply \(S_i\).
 
3
The detection processes generally contain three stages, publishing the positions of the decoy states, measuring them, and comparing the results.
 
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Metadaten
Titel
Collusive attacks to “circle-type” multi-party quantum key agreement protocols
verfasst von
Bin Liu
Di Xiao
Heng-Yue Jia
Run-Zong Liu
Publikationsdatum
01.05.2016
Verlag
Springer US
Erschienen in
Quantum Information Processing / Ausgabe 5/2016
Print ISSN: 1570-0755
Elektronische ISSN: 1573-1332
DOI
https://doi.org/10.1007/s11128-016-1264-5

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