Semi-loss-tolerant strong quantum coin-flipping protocol using quantum non-demolition measurement

In this paper, we present a semi-loss-tolerant strong quantum coin-flipping (QCF) protocol with the best bias of 0.3536. Our manuscript applies quantum non-demolition measurement to quantum coin-flipping protocol. Furthermore, a single photon as a single qubit is used to avoid the difficult implementation of EPR resources. We also analyze the security of our protocol obtaining the best result among all coin-flipping protocols considering loss. A semi-loss-tolerant quantum dice rolling (QDR) protocol is first proposed, and the security of corresponding three-party QDR is analyzed to better demonstrate the security of our QCF.

[1]  S. Massar,et al.  Family of loss-tolerant quantum coin-flipping protocols , 2010 .

[2]  R. Colbeck An entanglement-based protocol for strong coin tossing with bias 1/4 , 2006, quant-ph/0609034.

[3]  Carlos Mochon Quantum weak coin-flipping with bias of 0.192 , 2004, 45th Annual IEEE Symposium on Foundations of Computer Science.

[4]  F. Khalili,et al.  Quantum nondemolition measurements: the route from toys to tools , 1996 .

[5]  R W Spekkens,et al.  Quantum protocol for cheat-sensitive weak coin flipping. , 2002, Physical review letters.

[6]  Hoi-Kwong Lo,et al.  Is Quantum Bit Commitment Really Possible? , 1996, ArXiv.

[7]  C. Mochon Quantum weak coin flipping with arbitrarily small bias , 2007, 0711.4114.

[8]  Andris Ambainis A new protocol and lower bounds for quantum coin flipping , 2004, J. Comput. Syst. Sci..

[9]  Qiaoyan Wen,et al.  Semi-loss-tolerant strong coin flipping protocol using EPR pairs , 2011, Quantum Inf. Comput..

[10]  T. Rudolph,et al.  Degrees of concealment and bindingness in quantum bit commitment protocols , 2001, quant-ph/0106019.

[11]  Iordanis Kerenidis,et al.  Optimal Quantum Strong Coin Flipping , 2009, 2009 50th Annual IEEE Symposium on Foundations of Computer Science.

[12]  F. Bussières,et al.  Fair Loss-Tolerant Quantum Coin Flipping , 2009, 0904.3945.

[13]  S. Massar,et al.  Experimental quantum tossing of a single coin , 2008, 0804.4411.

[14]  Dominic Mayers Unconditionally secure quantum bit commitment is impossible , 1997 .

[15]  Andrew Chi-Chih Yao,et al.  Quantum bit escrow , 2000, STOC '00.

[16]  A. Chailloux Improved Loss-Tolerant Quantum Coin Flipping , 2010, 1009.0044.

[17]  N. Aharon,et al.  Quantum dice rolling: a multi-outcome generalization of quantum coin flipping , 2009, 0909.4186.