Eavesdropping and Improvement to Multiparty Quantum Secret Sharing with Collective Eavesdropping-Check

Abstract A scalable protocol for multiparty quantum secret splitting with collective eavesdropping-check is proposed by using Einstein–Podolsky–Rosen pairs. We analyze the security of this protocol and prove that it can stand against some possible attacks in an ideal condition. Meanwhile, this protocol utilizes quantum dense coding to achieve a high intrinsic efficiency and source capacity. Moreover, only Bell-state measurement and local unitary operations are required, which makes this protocol more convenient from an applied point of view.

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

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

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

[4]  A Cabello Quantum key distribution in the Holevo limit. , 2000, Physical review letters.

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

[6]  A. Acín Statistical distinguishability between unitary operations. , 2001, Physical review letters.

[7]  Fuguo Deng,et al.  Efficient high-capacity quantum secret sharing with two-photon entanglement , 2006, quant-ph/0602160.

[8]  Massimiliano F. Sacchi,et al.  Optimal discrimination of quantum operations , 2005 .

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

[10]  Qiaoyan Wen,et al.  Comment on: “Quantum exam” [Phys. Lett. A 350 (2006) 174] , 2007 .

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

[12]  Mingsheng Ying,et al.  Unambiguous discrimination among quantum operations , 2006 .

[13]  Guang Ping He,et al.  Comment on "experimental single qubit quantum secret sharing". , 2007, Physical review letters.

[14]  Y. Shih,et al.  Quantum teleportation with a complete Bell state measurement , 2000, Physical Review Letters.

[15]  G M D'Ariano,et al.  Using entanglement improves the precision of quantum measurements. , 2001, Physical review letters.

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

[17]  Fei Gao,et al.  Comment on “Multiparty quantum secret sharing of classical messages based on entanglement swapping” , 2007 .