Group Covariant Protocols for Quantum String Commitment

Details Group Covariant Protocols for Quantum String Commitment Group Covariant Protocols for Quantum String Commitment

2006-06-05

arxiv.org/abs/quant-ph/0606030v2

Phys. Rev. A, 74, 042307 (2006)

Physics

Quantum Physics

5 pages, no figure, typos corrected

Scientific paper

10.1103/PhysRevA.74.042307

We study the security of quantum string commitment (QSC) protocols with group covariant encoding scheme. First we consider a class of QSC protocol, which is general enough to incorporate all the QSC protocols given in the preceding literatures. Then among those protocols, we consider group covariant protocols and show that the exact upperbound on the binding condition can be calculated. Next using this result, we prove that for every irreducible representation of a finite group, there always exists a corresponding nontrivial QSC protocol which reaches a level of security impossible to achieve classically.

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