Weak blind quantum signature protocol based on entanglement swapping

Minghui Zhang; Huifang Li

doi:10.1364/PRJ.3.000324

Journals >Photonics Research >Volume 3 >Issue 6 >Page 324 > Article

Photonics Research
Vol. 3, Issue 6, 324 (2015)

Weak blind quantum signature protocol based on entanglement swapping

Minghui Zhang^* and Huifang Li

Author Affiliations

School of Electronic and Information, Northwestern Polytechnical University, Xi’an 710129, China

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DOI: 10.1364/PRJ.3.000324 Cite this Article Set citation alerts

Minghui Zhang, Huifang Li. Weak blind quantum signature protocol based on entanglement swapping[J]. Photonics Research, 2015, 3(6): 324 Copy Citation Text

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$m (i)$	$m (i - 1) m (i)$	Operator	Blind Message $m^{'}$
0
1	01	$σ_{2}$	10
1	11	$σ_{4}$	00
0	10	$σ_{3}$	01
0	00	$σ_{1}$	11

Table 1. Initial Message is Converted into Blind Message

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Operator	$\| C 〉$	Basis
$σ_{1}$ or $σ_{4}$	$\| ψ_{B D}^{-} 〉$ or $\| ϕ_{B D}^{+} 〉$	$X$
$σ_{1}$ or $σ_{4}$	$\| ψ_{B D}^{+} 〉$ or $\| ϕ_{B D}^{-} 〉$	$Z$
$σ_{2}$ or $σ_{3}$	$\| ψ_{B D}^{-} 〉$ or $\| ϕ_{B D}^{+} 〉$	$Z$
$σ_{2}$ or $σ_{3}$	$\| ψ_{B D}^{+} 〉$ or $\| ϕ_{B D}^{-} 〉$	$X$

Table 2. Criteria of Measurement Base Selection

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Operator	$\| C 〉$	$A C$ ’s state	${\| A 〉, \| B 〉}$
$σ_{1}$	$\| ψ_{B D}^{-} 〉$	$\| ψ_{A C}^{-} 〉$	${\| + 〉, \| - 〉}$ or ${\| - 〉, \| + 〉}$
	$\| ϕ_{B D}^{+} 〉$	$\| ϕ_{A C}^{+} 〉$	${\| + 〉, \| + 〉}$ or ${\| - 〉, \| - 〉}$
	$\| ψ_{B D}^{+} 〉$	$\| ψ_{A C}^{+} 〉$	${\| 0 〉, \| 1 〉}$ or ${\| 1 〉, \| 0 〉}$
	$\| ϕ_{B D}^{-} 〉$	$\| ϕ_{A C}^{-} 〉$	${\| 0 〉, \| 0 〉}$ or ${\| 1 〉, \| 1 〉}$
$σ_{2}$	$\| ψ_{B D}^{-} 〉$	$\| ψ_{A C}^{+} 〉$	${\| 0 〉, \| 1 〉}$ or ${\| 1 〉, \| 0 〉}$
	$\| ϕ_{B D}^{+} 〉$	$\| ϕ_{A C}^{-} 〉$	${\| 0 〉, \| 0 〉}$ or ${\| 1 〉, \| 1 〉}$
	$\| ψ_{B D}^{+} 〉$	$\| ψ_{A C}^{-} 〉$	${\| + 〉, \| - 〉}$ or ${\| - 〉, \| + 〉}$
	$\| ϕ_{B D}^{-} 〉$	$\| ϕ_{A C}^{+} 〉$	${\| + 〉, \| + 〉}$ or ${\| - 〉, \| - 〉}$
$σ_{3}$	$\| ψ_{B D}^{-} 〉$	$\| ϕ_{A C}^{-} 〉$	${\| 0 〉, \| 0 〉}$ or ${\| 1 〉, \| 1 〉}$
	$\| ϕ_{B D}^{+} 〉$	$\| ψ_{A C}^{+} 〉$	${\| 0 〉, \| 1 〉}$ or ${\| 1 〉, \| 0 〉}$
	$\| ψ_{B D}^{+} 〉$	$\| ϕ_{A C}^{+} 〉$	${\| + 〉, \| + 〉}$ or ${\| - 〉, \| - 〉}$
	$\| ϕ_{B D}^{-} 〉$	$\| ψ_{A C}^{-} 〉$	${\| + 〉, \| - 〉}$ or ${\| - 〉, \| + 〉}$
$σ_{4}$	$\| ψ_{B D}^{-} 〉$	$\| ϕ_{A C}^{+} 〉$	${\| + 〉, \| + 〉}$ or ${\| - 〉, \| - 〉}$
	$\| ϕ_{B D}^{+} 〉$	$\| ψ_{A C}^{-} 〉$	${\| + 〉, \| - 〉}$ or ${\| - 〉, \| + 〉}$
	$\| ψ_{B D}^{+} 〉$	$\| ϕ_{A C}^{-} 〉$	${\| 0 〉, \| 0 〉}$ or ${\| 1 〉, \| 1 〉}$
	$\| ϕ_{B D}^{-} 〉$	$\| ψ_{A C}^{+} 〉$	${\| 0 〉, \| 1 〉}$ or ${\| 1 〉, \| 0 〉}$