Quantum-Secret-Sharing Scheme Based on Local Distinguishability of Orthogonal Seven-Qudit Entangled States

In this paper, a theoretical scheme for bidirectional quantum teleportation by using a four-qubit GHZ state and two Bell states as a quantum channel is proposed. In this scheme, two arbitrary single-qubit quantum states and an unknown three-qubit state can be mutually transmitted between the two communication participants Alice and Bob. The quantum state information can be transmitted if Alice performs four single-qubit measurement operations on her qubits and Bob carries out a four-qubit joint measurement on his qubits, respectively. Then both Alice and Bob can reconstruct the target quantum state by means of appropriate unitary operations. Then we take comparisons with the other bidirectional quantum teleportation protocols in five aspects of quantum information bits transmitted, necessary operations, consumption of quantum resource, consumption of classical resource and intrinsic efficiency. Furthermore, we use channel authentication method to ensure the channel security and prove that our protocol can withstand four attack scenarios. It is concluded that our scheme has significant advantages of more qubits number transmitted, higher intrinsic efficiency and high security. INDEX TERMS Bidirectional quantum teleportation, four-qubit GHZ state and two Bell states, single-qubit measurement, four-qubit joint measurement, channel authentication.

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“…There are many attack cases in QC [43]. Next, we will discuss the communication security of the proposed protocol in two cases.…”

Section: Security Analysismentioning

confidence: 99%

Bidirectional Quantum Teleportation by Using a Four-Qubit GHZ State and Two Bell States

Chen

Liu

et al. 2020

IEEE Access

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“… In 2017, Wang 48 proposed the concept of judgment space to investigate the quantum secret sharing scheme based on local distinguishability, and developed a standard (3, 4)-threshold LOCC-QSS scheme and a standard (5, 6)-threshold LOCC-QSS scheme with three orthogonal 4-qudit (4-level) entangled states and three orthogonal 6-qudit (6-level) entangled states, respectively. Furthermore, Liu 49 proposed a standard (6, 7)-threshold LOCC-QSS scheme with five orthogonal 7-qudit (7-level). In 2020, Dou 50 followed the work of Wang 48 and investigate the judgement space deeply.…”

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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“…Compared with classical cryptography on the basis of computational complexity, quantum cryptography based on the laws of quantum physics can achieve unconditional security. Many branches of quantum cryptography have been developed, such as quantum key distribution(QKD) [1,2], quantum key agreement(QKA) [3][4][5], quantum secure direct communication(QSDC) [6,7], quantum teleportation [8,9], quantum signature [10,11], quantum authentication [12][13][14], quantum secret sharing(QSS) [15][16][17][18][19][20][21][22][23][24][25][26][27][28][29][30] and so on.…”

Section: Introductionmentioning

confidence: 99%

“…Only the participants in authorized sets can recover the secret, and the participants in unauthorized sets can not recover the secret. Since Hillery et al [15] proposed the first quantum secret ⋆ lizhihui@snnu.edu.cn sharing scheme by using GHZ state in 1999, a growing number of QSS schemes [16][17][18][19][20][21][22][23][24][25][26][27][28][29][30] have been proposed. For example, Williams et al [22] described and experimentally demonstrated a three-party quantum secret sharing protocol using polarization-entangled photon pairs.…”

Section: Introductionmentioning

confidence: 99%

A Hybrid Quantum Secret Sharing Scheme based on Mutually Unbiased Bases

Zhi

Liu

et al. 2020

Preprint

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With the advantages of both classical and quantum secret sharing, many practical hybrid quantum secret sharing have been proposed. In this paper, we propose a hybrid quantum secret sharing scheme based on mutually unbiased bases and monotone span program. First, the dealer sends the shares in the linear secret sharing to the participants in the authorization set via a secure channel. Then, the dealer and participants perform unitary transformation on a d-dimensional quantum state sequentially, and the dealer publishes the measurement result confidentially to the participants in the authorization set to recover the secret. The verifiability of the scheme is guaranteed by the Hash function. Next, the correctness and security of the scheme are proved and our scheme is secure against the general eavesdropper attacks. Finally, a specific example is employed to further clarify the flexibility of the scheme and the detailed comparison of similar quantum secret sharing schemes also shows the superiority of our proposed scheme.

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Quantum-Secret-Sharing Scheme Based on Local Distinguishability of Orthogonal Seven-Qudit Entangled States

Cited by 17 publications

References 26 publications

Bidirectional Quantum Teleportation by Using a Four-Qubit GHZ State and Two Bell States

Bidirectional Quantum Teleportation by Using a Four-Qubit GHZ State and Two Bell States

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

A Hybrid Quantum Secret Sharing Scheme based on Mutually Unbiased Bases

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