Researching | Weak blind quantum signature protocol based on entanglement swapping

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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Abstract

In this paper, we put forward a weak blind quantum signature scheme based on quantum entanglement swapping of Bell states. Different from the existing quantum signature schemes, our scheme can offer two-step verification security services to ensure the validity of the verification. In order to guarantee the unconditional security of the scheme, the quantum key distribution protocol and one-time pad encryption algorithm are employed in our scheme. Besides, the entanglement swapping of Bell states mechanism enhances the security of verification criteria. The proposed scheme has the properties of nonforgeability, nonrepudiation, blindness, and traceability.

Keywords

Quantum communications Quantum cryptography Quantum optics

| ψ^{+} 〉 = \frac{1}{\sqrt{2}} (| 0 〉 | 1 〉 + | 1 〉 | 0 〉) = \frac{1}{\sqrt{2}} (| + 〉 | + 〉 - | - 〉 | - 〉),

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| ψ^{-} 〉 = \frac{1}{\sqrt{2}} (| 0 〉 | 1 〉 - | 1 〉 | 0 〉) = \frac{1}{\sqrt{2}} (| + 〉 | - 〉 - | - 〉 | + 〉),

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| ϕ^{+} 〉 = \frac{1}{\sqrt{2}} (| 0 〉 | 0 〉 + | 1 〉 | 1 〉) = \frac{1}{\sqrt{2}} (| + 〉 | + 〉 + | - 〉 | - 〉),

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| ϕ^{-} 〉 = \frac{1}{\sqrt{2}} (| 0 〉 | 0 〉 - | 1 〉 | 1 〉) = \frac{1}{\sqrt{2}} (| + 〉 | - 〉 + | - 〉 | + 〉),

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σ_{1} | ψ_{A B}^{-} 〉 \otimes | ψ_{C D}^{-} 〉 = | ψ_{A B}^{-} 〉 \otimes | ψ_{C D}^{-} 〉 = \frac{1}{2} (| ψ_{A C}^{-} 〉 | ψ_{B D}^{-} 〉 + | ϕ_{A C}^{+} 〉 | ϕ_{B D}^{+} 〉 - | ψ_{A C}^{+} 〉 | ψ_{B D}^{+} 〉 - | ϕ_{A C}^{-} 〉 | ϕ_{B D}^{-} 〉),

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σ_{2} | ψ_{A B}^{-} 〉 \otimes | ψ_{C D}^{-} 〉 = | ψ_{A B}^{+} 〉 \otimes | ψ_{C D}^{-} 〉 = \frac{1}{2} (| ψ_{A C}^{+} 〉 | ψ_{B D}^{-} 〉 - | ψ_{A C}^{-} 〉 | ψ_{B D}^{+} 〉 - | ϕ_{A C}^{+} 〉 | ϕ_{B D}^{-} 〉 + | ϕ_{A C}^{-} 〉 | ϕ_{B D}^{+} 〉),

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σ_{3} | ψ_{A B}^{-} 〉 \otimes | ψ_{C D}^{-} 〉 = | ϕ_{A B}^{-} 〉 \otimes | ψ_{C D}^{-} 〉 = \frac{1}{2} (| ϕ_{A C}^{+} 〉 | ψ_{B D}^{+} 〉 + | ϕ_{A C}^{-} 〉 | ψ_{B D}^{-} 〉 - | ψ_{A C}^{+} 〉 | ϕ_{B D}^{+} 〉 - | ψ_{A C}^{-} 〉 | ϕ_{B D}^{-} 〉),

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σ_{4} | ψ_{A B}^{-} 〉 \otimes | ψ_{C D}^{-} 〉 = | ϕ_{A B}^{+} 〉 \otimes | ψ_{C D}^{-} 〉 = \frac{1}{2} (| ϕ_{A C}^{-} 〉 | ψ_{B D}^{+} 〉 - | ψ_{A C}^{+} 〉 | ϕ_{B D}^{-} 〉 - | ψ_{A C}^{-} 〉 | ϕ_{B D}^{+} 〉 + | ϕ_{A C}^{+} 〉 | ψ_{B D}^{-} 〉) .

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W_{j} = {w_{j}^{1}, w_{j}^{2}, \dots, w_{j}^{n}, \dots, w_{j}^{n + l}} (j \in A, B, C, D) .

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

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