Quantum Bit String Commitment

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Quantum bit string commitment.

A bit string commitment protocol securely commits N classical bits so that the recipient can extract only M<N bits of information about the string. Classical reasoning suggests that bit string commitment implies bit commitment and hence, given the Mayers-Lo-Chau theorem, that nonrelativistic quantum bit string commitment is impossible. Not so: there exist nonrelativistic quantum bit string comm...

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Analysis of one quantum bit string commitment

A. Kent proposed a quantum bit string commitment protocol in 2003. Not using the standard two conjugate states |0〉, |1〉, |+〉 and |−〉, the protocol uses ψ0 = |0〉 and ψ1 = sin θ|0〉 + cos θ|1〉, where θ 6= 0. In this paper, we show that the protocol can not guarantee security to the receiver. (1 − sin2 θ 2 )n bits are definitely exposed to the receiver, where n is the length of the committed string.

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Possibility, impossibility, and cheat sensitivity of quantum-bit string commitment

Harry Buhrman, Matthias Christandl,* Patrick Hayden, Hoi-Kwong Lo, and Stephanie Wehner CWI, Kruislaan 413, 1098 SJ Amsterdam, The Netherlands DAMTP, University of Cambridge, Wilberforce Road, Cambridge, CB3 0WA, United Kingdom Arnold Sommerfeld Center for Theoretical Physics, Faculty of Physics, Ludwig-Maximilians-University Munich, Theresienstrasse 37, 80333 Munich, Germany School of Computer...

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ژورنال

عنوان ژورنال: Physical Review Letters

سال: 2003

ISSN: 0031-9007,1079-7114

DOI: 10.1103/physrevlett.90.237901