(t, n) Threshold quantum secret sharing using the phase shift operation

Qin, Huawang; Zhu, Xiaohua; Dai, Yuewei

doi:10.1007/s11128-015-1037-6

Cited by 75 publications

(44 citation statements)

References 30 publications

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“…In ref. 17, the transmission route of the quantum sequence is determined as: Alice → Bob i → Bob 1 → → Bob t . The total number of the transmitted particles is the sum of the message particles and the decoy particles, as shown in Table 3, which is .…”

Section: Resultsmentioning

confidence: 99%

“… 1 in 1999, based on Greenberger-Home-Zeilinger(GHZ) state. Since then, many design and analysis schemes on QSS have been proposed 2 – 20 such as circular QSSs 2 – 4 , dynamic QSSs 5 , 6 , single particle QSSs 7 – 9 , graph state QSSs 10 – 12 , verifiable QSSs 13 – 15 , and other QSSs that may be based on Calderbank–Shor–Steane codes 16 , or based on phase shift operation 17 – 19 , or based on quantum search algorithm 20 .…”

Section: Introductionmentioning

confidence: 99%

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(t, n) Threshold d-Level Quantum Secret Sharing

Song

Liu

Deng

et al. 2017

Sci Rep

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Most of Quantum Secret Sharing(QSS) are (n, n) threshold 2-level schemes, in which the 2-level secret cannot be reconstructed until all n shares are collected. In this paper, we propose a (t, n) threshold d-level QSS scheme, in which the d-level secret can be reconstructed only if at least t shares are collected. Compared with (n, n) threshold 2-level QSS, the proposed QSS provides better universality, flexibility, and practicability. Moreover, in this scheme, any one of the participants does not know the other participants’ shares, even the trusted reconstructor Bob 1 is no exception. The transformation of the particles includes some simple operations such as d-level CNOT, Quantum Fourier Transform(QFT), Inverse Quantum Fourier Transform(IQFT), and generalized Pauli operator. The transformed particles need not to be transmitted from one participant to another in the quantum channel. Security analysis shows that the proposed scheme can resist intercept-resend attack, entangle-measure attack, collusion attack, and forgery attack. Performance comparison shows that it has lower computation and communication costs than other similar schemes when 2 < t < n − 1.

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Section: Resultsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

(t, n) Threshold d-Level Quantum Secret Sharing

Song

Liu

Deng

et al. 2017

Sci Rep

View full text Add to dashboard Cite

show abstract

“…The attack is found with the probability 1 − ( 3 4 ) Ω . For Ω → ∞, the probability will converge to 1 [33].…”

Section: Intercept-and-resend Attackmentioning

confidence: 99%

Improving Continuous Variable Quantum Secret Sharing with Weak Coherent States

et al. 2020

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Quantum secret sharing (QSS) can usually realize unconditional security with entanglement of quantum systems. While the usual security proof has been established in theoretics, how to defend against the tolerable channel loss in practices is still a challenge. The traditional ( t , n ) threshold schemes are equipped in situation where all participants have equal ability to handle the secret. Here we propose an improved ( t , n ) threshold continuous variable (CV) QSS scheme using weak coherent states transmitting in a chaining channel. In this scheme, one participant prepares for a Gaussian-modulated coherent state (GMCS) transmitted to other participants subsequently. The remaining participants insert independent GMCS prepared locally into the circulating optical modes. The dealer measures the phase and the amplitude quadratures by using double homodyne detectors, and distributes the secret to all participants respectively. Special t out of n participants could recover the original secret using the Lagrange interpolation and their encoded random numbers. Security analysis shows that it could satisfy the secret sharing constraint which requires the legal participants to recover message in a large group. This scheme is more robust against background noise due to the employment of double homodyne detection, which relies on standard apparatuses, such as amplitude and phase modulators, in favor of its potential practical implementations.

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“…Due to the advantages of CV quantum states, scholars have proposed a number of CV quantum communication protocols. For instance, CV quantum key distribution (CV-QKD) [21]- [23], CV quantum teleportation [24]- [27], CV quantum secret sharing [28]- [30], and CV quantum identity authentication [31] etc. The CV-AQS protocols [32], [33] are proposed, which show superior performance in terms of generation and detection over the DV-AQS.…”

Section: Introductionmentioning

confidence: 99%

Continuous-Variable Arbitrated Quantum Signature Based on Dense Coding and Teleportation

et al. 2019

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Motivated by the dense coding and teleportation of two-mode squeezed vacuum (TMSV) state, a continuous-variable arbitrated quantum signature (CV-AQS) scheme is proposed. The signer Alice generates the signature by the dense coding and sends it to the verifier Bob. The measurement results of two quadrature components serve for the recovery of the secret message. With the help of the arbitrator Charlie, Bob verifies the validity of the signature. The security of the presented protocol is protected by the calculation of the fidelity parameter and the implementation process of two-mode squeezed vacuum (TMSV) state teleportation. Moreover, the proposed scheme can be correctly implemented in the lossy and lossless transmission with a higher capacity. INDEX TERMS Continuous-variable, arbitrated quantum signature, dense coding, quantum teleportation.

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(t, n) Threshold quantum secret sharing using the phase shift operation

Cited by 75 publications

References 30 publications

(t, n) Threshold d-Level Quantum Secret Sharing

(t, n) Threshold d-Level Quantum Secret Sharing

Improving Continuous Variable Quantum Secret Sharing with Weak Coherent States

Continuous-Variable Arbitrated Quantum Signature Based on Dense Coding and Teleportation

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