Multi-proxy quantum group signature scheme with threshold shared verification

A multi-proxy quantum group signature scheme with threshold shared verification is proposed. An original signer may authorize a proxy group as his proxy agent. Then only the cooperation of all the signers in the proxy group can generate the proxy signature on behalf of the original signer. In the scheme, any t or more of n receivers can verify the message and any t – 1 or fewer receivers cannot verify the validity of the proxy signature.

[1]  Charles H. Bennett,et al.  Quantum cryptography without Bell's theorem. , 1992, Physical review letters.

[2]  Adi Shamir,et al.  How to share a secret , 1979, CACM.

[3]  Yan Feng-Li,et al.  Controlled quantum teleportation and secure direct communication , 2005 .

[4]  Cai Qing-yu,et al.  Deterministic secure communication without using entanglement , 2004 .

[5]  Jian Wang,et al.  Quantum secure direct communication based on order rearrangement of single photons , 2006, quant-ph/0603100.

[6]  Q. Cai Eavesdropping on the two-way quantum communication protocols with invisible photons , 2005, quant-ph/0508002.

[7]  Wen Qiao-Yan,et al.  A theoretical scheme for multi-user quantum authentication and key distribution in a network , 2005 .

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

[9]  Fuguo Deng,et al.  Reply to ``Comment on `Secure direct communication with a quantum one-time-pad' '' , 2004, quant-ph/0405177.

[10]  Fuguo Deng,et al.  Two-step quantum direct communication protocol using the Einstein-Podolsky-Rosen pair block , 2003, quant-ph/0308173.

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

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

[13]  Guihua Zeng,et al.  Arbitrated quantum-signature scheme , 2001, quant-ph/0109007.

[14]  Fuguo Deng,et al.  Bidirectional quantum secret sharing and secret splitting with polarized single photons , 2005, quant-ph/0504119.

[15]  Ekert,et al.  Quantum cryptography based on Bell's theorem. , 1991, Physical review letters.

[16]  Hwayean Lee,et al.  Arbitrated quantum signature scheme with message recovery , 2004 .