Quantum secret sharing using the d-dimensional GHZ state

Bai, Chen-Ming; Li, Zhihui; Xu, Tingting; Li, Yongming

doi:10.1007/s11128-016-1506-6

Cited by 37 publications

(17 citation statements)

References 41 publications

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“…Once the state is produced, the number of participants is fixed. Yu et al presented another QSS [12] based on d-dimensional GHZ state, which is also not scalable with the growth of participant number. In their scheme, an X-basis measurement and classical communication are used to distinguish two orthogonal states and reconstruct the original secret.…”

Section: Comparisons and Discussionmentioning

confidence: 99%

“…Following the similar idea, the QSS is further generalized to d-level platform [11] by utilizing multiparticle (> 3) entanglement GHZ state. Subsequently, another QSS [12] was proposed using the d-dimensional GHZ state in a different way, in which participants use an X-basis measurement and classical communication to distinguish two orthogonal states and reconstruct the original secret. However, these entanglement-based schemes are all poor in scalability because it gets difficult to keep quantum correlations among more and more participants.…”

Section: Introductionmentioning

confidence: 99%

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Verifiable threshold quantum secret sharing with sequential communication

Miao

Hou

et al. 2018

Quantum Inf Process

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A (t, n) threshold quantum secret sharing (QSS) is proposed based on a single d-level quantum system. It enables the (t, n) threshold structure based on Shamir's secret sharing and simply requires sequential communication in d-level quantum system to recover secret. Besides, the scheme provides a verification mechanism which employs an additional qudit to detect cheats and eavesdropping during secret reconstruction, and allows a participant to use the share repeatedly. Analyses show that the proposed scheme is resistant to typical attacks. Moreover, the scheme is scalable in participant number and easier to realize compared to related schemes. More generally, our scheme also presents a generic method to construct new (t, n) threshold QSS schemes based on d-level quantum system from other classical threshold secret sharing.

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Section: Comparisons and Discussionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Verifiable threshold quantum secret sharing with sequential communication

Miao

Hou

et al. 2018

Quantum Inf Process

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“…Here, we prepare quantum circuits and experimentally show the teleportation of any general single-qubit, two-qubit and three-qubit state. As special cases, we have shown the teleportation of Bell [19,20], GHZ [21,22,23,24] and W [25,26] states.…”

Section: Introductionmentioning

confidence: 90%

Experimental realization of quantum teleportation using coined quantum walks

Chatterjee

Devrari

Behera

et al. 2019

Quantum Inf Process

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The goal of teleportation is to transfer the state of one particle to another particle. In coined quantum walks, conditional shift operators can introduce entanglement between position space and coin space. This entanglement resource can be used as a quantum channel for teleportation, as proposed by Wang, Shang and Xue [Quantum Inf. Process. 16, 221 (2017)]. Here, we demonstrate the implementation of quantum teleportation using quantum walks on a five-qubit quantum computer and a 32-qubit simulator provided by IBM quantum experience beta platform. We show the teleportation of singlequbit, two-qubit and three-qubit quantum states with circuit implementation on the quantum devices. The teleportation of Bell, W and GHZ states has also been demonstrated as special cases of the above states.

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“…So far, based on the local distinguishability of multiparty entangled states, a great deal of threshold LOCC-QSS schemes have been found successively and summarized below: In 2015, Yang 46 presented a standard (2, n )-threshold LOCC-QSS scheme, in which any two players can collaboratively recover the secret, using some pairs of locally distinguishable orthogonal d -level multipartite entangled states to represent the encoded secret. In 2017, Bai 28 proposed a standard (2, n )-threshold LOCC-QSS scheme and a restricted (2, n )-threshold LOCC-QSS scheme based on the local distinguishability of an orthogonal pair of n -qudit GHZ states. In 2017, using the discriminability of two orthogonal d -level GHZ states under LOCC, Bai 47 proposed multiple QSS schemes to realize three types of access structures, i.e., the ( n , n )-threshold, the restricted (3, n )-threshold and restricted (4, n )-threshold.…”

Section: Introductionmentioning

confidence: 99%

“…In 2017, Bai 28 proposed a standard (2, n )-threshold LOCC-QSS scheme and a restricted (2, n )-threshold LOCC-QSS scheme based on the local distinguishability of an orthogonal pair of n -qudit GHZ states.…”

Section: Introductionmentioning

confidence: 99%

Standard (3, 5)-threshold quantum secret sharing by maximally entangled 6-qubit states

Long¹,

Zhang

Sun

2021

Sci Rep

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In this paper, a standard (3, 5)-threshold quantum secret sharing scheme is presented, in which any three of five participants can resume cooperatively the classical secret from the dealer, but one or two shares contain absolutely no information about the secret. Our scheme can be fulfilled by using the singular properties of maximally entangled 6-qubit states found by Borras. We analyze the scheme’s security by several ways, for example, intercept-and-resend attack, entangle-and-measure attack, and so on. Compared with the other standard threshold quantum secret sharing schemes, our scheme needs neither to use d-level multipartite entangled states, nor to produce shares by classical secret splitting techniques, so it is feasible to be realized.

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Quantum secret sharing using the d-dimensional GHZ state

Cited by 37 publications

References 41 publications

Verifiable threshold quantum secret sharing with sequential communication

Verifiable threshold quantum secret sharing with sequential communication

Experimental realization of quantum teleportation using coined quantum walks

Standard (3, 5)-threshold quantum secret sharing by maximally entangled 6-qubit states

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