Cryptanalysis of quantum secret sharing based on GHZ states

In a recent paper (Hwang et al 2011 Phys. Scr. 83 045004), a subtle quantum secret sharing (QSS) protocol was proposed. One major advantage of this protocol is its high efficiency; that is, it is more efficient than other QSS protocols using the Greenberger?Horne?Zeilinger states. However, we analyzed the security of this protocol and found that it is insecure for one agent who may deduce half of the information about the deal's secret directly just by his/her piece of secret. Finally, a feasible improvement of this QSS protocol is put forward.

[1]  V. Buzek,et al.  Quantum secret sharing , 1998, quant-ph/9806063.

[2]  Guang-Can Guo,et al.  Quantum secret sharing without entanglement , 2002 .

[3]  Zhan-Jun Zhang,et al.  Improving the security of a quantum secret sharing protocol between multiparty and multiparty without entanglement , 2007 .

[4]  Tzonelih Hwang,et al.  Multiparty quantum secret sharing based on GHZ states , 2011 .

[5]  Su-Juan Qin,et al.  One-time pads cannot be used to improve the efficiency of quantum communication , 2007 .

[6]  Deng Fu-Guo,et al.  Erratum: Improving the security of multiparty quantum secret sharing against Trojan horse attack [Phys. Rev. A 72, 044302 (2005)] , 2006 .

[7]  Ting Gao,et al.  Addendum to "Quantum secret sharing between multiparty and multiparty without entanglement" , 2005 .

[8]  Christian Kurtsiefer,et al.  Experimental single qubit quantum secret sharing. , 2005, Physical review letters.

[9]  Yi-Min Liu,et al.  Multiparty quantum secret sharing of secure direct communication using single photons , 2008 .

[10]  Fuguo Deng,et al.  Improving the security of multiparty quantum secret sharing against Trojan horse attack , 2005, quant-ph/0506194.

[11]  Pradeep Kiran Sarvepalli,et al.  Matroids and Quantum Secret Sharing Schemes , 2009, ArXiv.

[12]  Qiaoyan Wen,et al.  Cryptanalysis of the Hillery-Buzek-Berthiaume quantum secret-sharing protocol , 2007, 0801.2418.

[13]  M. Koashi,et al.  Quantum entanglement for secret sharing and secret splitting , 1999 .

[14]  Jian-Wei Pan,et al.  Efficient multiparty quantum-secret-sharing schemes , 2004, quant-ph/0405179.

[15]  D. Gottesman.  Theory of quantum secret sharing , 1999, quant-ph/9910067.

[16]  Qiaoyan Wen,et al.  Improving the security of multiparty quantum secret sharing against an attack with a fake signal , 2006 .

[17]  R. Cleve,et al.  HOW TO SHARE A QUANTUM SECRET , 1999, quant-ph/9901025.

[18]  Ming-huang Sang,et al.  Quantum state sharing of an arbitrary three-qubit state by using three sets of W-class states , 2011, Quantum Information Processing.