有序双重的量子盲签名协议

doi:10.11959/j.issn.1000-436x.2015248

Abstract

Abstract:

Considering the fact that both party banks need to sign on the same bill because of the inter-bank E-payment in real life.A sequential double blind signature protocol based on the quantum coherence and quantum entanglement was proposed for the first time.Consumer blinded the message at first and each bank signed the blinded message one by one.The advantage of this protocol is that it only requires particle measurements for the verification without any quantum unitary operation.In addition,the proposed protocol obtains the higher efficiency and accuracy in the phase of signature verification,compared with other single quantum blind signature schemes.

Key words: quantum information, quantum signature, blind signature, double signature

Hui WANG,Run-hua SHI,Hong ZHONG,Jie CUI,Shun ZHANG,Kai-ting WANG. Sequential double quantum blind signature protocol[J]. Journal on Communications, 2015, 36(9): 259-266.

Figures/Tables 7

Alice对粒子所做变换	Alice测量结果	Bob需要的酉变换
	$\| ϕ^{+} 〉$	I
	$\| ϕ^{-} 〉$	σ_z
I	$\| ψ^{+} 〉$	σ_x
	$\| ψ^{-} 〉$	iσ_y
	$\| ϕ^{+} 〉$	σ_x
σ_x	$\| ϕ^{-} 〉$ $\| ψ^{+} 〉$	iσ_yI
	$\| ψ^{-} 〉$	σ_z

Trent1测量及编码序列T1	Trent2测量及编码序列T2	Bob测量及编码序列B
+,0	$\| ϕ^{+} 〉, 00$	$\| ϕ^{+} 〉, 00$
	$\| ϕ^{-} 〉, 01$	$\| ϕ^{-} 〉, 01$
	$\| ψ^{+} 〉, 10$	$\| ψ^{+} 〉, 10$
	$\| ψ^{-} 〉, 11$	$\| ψ^{-} 〉, 11$
?,1	$\| ϕ^{+} 〉, 00$	$\| ϕ^{-} 〉, 01$
	$\| ϕ^{-} 〉, 01$	$\| ϕ^{+} 〉, 00$
	$\| ψ^{+} 〉, 10$	$- \| ψ^{-} 〉, 11$
	$\| ψ^{-} 〉, 11$	$- \| ψ^{+} 〉, 10$

Trent1测量及编码序列T1	Trent2测量及编码序列T2	Bob测量及编码序列B
$\| + 〉, 0$	$\| ϕ^{+} 〉, 00$	$\| ψ^{+} 〉, 10$
	$\| ϕ^{-} 〉, 01$	$- \| ψ^{-} 〉, 11$
	$\| ψ^{+} 〉, 10$	$\| ϕ^{+} 〉, 00$
	$\| ψ^{-} 〉, 11$	$- \| ϕ^{-} 〉, 01$
$\| - 〉, 1$	$\| ϕ^{+} 〉, 00$	$- \| ψ^{-} 〉, 11$
	$\| ϕ^{-} 〉, 01$	$\| ψ^{+} 〉, 10$
	$\| ψ^{+} 〉, 10$	$\| ϕ^{-} 〉, 01$
	$\| ψ^{-} 〉, 11$	$- \| ϕ^{+} 〉, 00$

References 21

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Trent1测量及编码序列T1	Trent2测量及编码序列T2	Bob测量及编码序列B
+,0	$\| ϕ^{+} 〉, 00$	$\| ϕ^{+} 〉, 00$
	$\| ϕ^{-} 〉, 01$	$\| ϕ^{-} 〉, 01$
	$\| ψ^{+} 〉, 10$	$\| ψ^{+} 〉, 10$
	$\| ψ^{-} 〉, 11$	$\| ψ^{-} 〉, 11$
?,1	$\| ϕ^{+} 〉, 00$	$\| ϕ^{-} 〉, 01$
	$\| ϕ^{-} 〉, 01$	$\| ϕ^{+} 〉, 00$
	$\| ψ^{+} 〉, 10$	$- \| ψ^{-} 〉, 11$
	$\| ψ^{-} 〉, 11$	$- \| ψ^{+} 〉, 10$

Trent1测量及编码序列T1	Trent2测量及编码序列T2	Bob测量及编码序列B
$\| + 〉, 0$	$\| ϕ^{+} 〉, 00$	$\| ψ^{+} 〉, 10$
	$\| ϕ^{-} 〉, 01$	$- \| ψ^{-} 〉, 11$
	$\| ψ^{+} 〉, 10$	$\| ϕ^{+} 〉, 00$
	$\| ψ^{-} 〉, 11$	$- \| ϕ^{-} 〉, 01$
$\| - 〉, 1$	$\| ϕ^{+} 〉, 00$	$- \| ψ^{-} 〉, 11$
	$\| ϕ^{-} 〉, 01$	$\| ψ^{+} 〉, 10$
	$\| ψ^{+} 〉, 10$	$\| ϕ^{-} 〉, 01$
	$\| ψ^{-} 〉, 11$	$- \| ϕ^{+} 〉, 00$

特点	文献[16]协议	文献[15] 协议	本文协议
量子资源	n对EPR态和2n对六粒子纠缠态	n 对三粒子纠缠态	n对GHZ态和n对EPR态
签名用户数量	1个	1个	2个
验证方酉变换	需要	不需要	不需要
签名长度	4n bit经典比特	3n bit经典比特	3n bit经典比特
消息恢复功能	有	无	有
验证开支	一重比较	两重比较	一重比较
签名验证比特	100%	50%	100%
正确率

Sequential double quantum blind signature protocol

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粒子1	粒子2	粒子3
+	+	+
+	?	?
?	+	?
?	?	+