Abstract
Quantum secret sharing plays an important role in quantum cryptography. In this paper, we propose a new general quantum secret sharing scheme based on access structure and monotone span program. In our scheme, the secret distributor first distributes the secret share according to the access structure, and then each participant in the authorization set hides their secret share in the qubits, and then transmits each qubit safely performed on unitary transformation. Compared with the existing quantum secret sharing schemes, our scheme is more flexible, general and less computational cost in practical applications.

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Shamir, A.: How to share a secret. Commun. ACM 22, 612–613 (1979)
Blakley, G.: Safeguarding cryptographic keys. Proc. AFIPS Natl. Comput. Conf. 48, 313–317 (1979)
Ma, H., Wei, K., Yang, J.: Experimental single qubit quantum secret sharing in a fiber network configuration. Opt. Lett. 38, 4494–4497 (2013)
Choi, I., Zhou, Y., James, F., et al.: Field trial of a quantum secured 10Gb/s DWDM transmission system over a single installed fiber. Opt. Express 22, 23121–23128 (2014)
Yang, X., Wei, K., Ma, H., et al.: Detector-device-independent quantum secret sharing with source flaws. Sci. Rep. 8, 5728 (2018)
Hillery, M., Buzek, V., Berthiaume, A.: How to share a secret. Quantum Secret Shar. 59, 1829–1834 (1999)
Cleve, R., Gottesman, D., Lo, H.K.: How to share a quantum secret. Phys. Rev. Lett. 83, 648–651 (1999)
Zhang, Z., Man, Z.: Multiparty quantum secret sharing of classical messages based on entanglement swapping. Phys. Rev. A 72, 15–19 (2005)
Lin, S., Wen, Q., Qin, S., et al.: Multiparty quantum secret sharing with collective eavesdropping check. Opt. Commun. 282, 4455–4459 (2009)
Deng, F., Zhou, H., Long, G., et al.: Bidirectional quantum secret sharing and secret splitting with polarized single photon. Phys. Lett. A 337, 329–334 (2005)
Wang, H., Zhang, S., Yeon, K., et al.: Multiparty quantum secret sharing via introducing auxiliary particles. J. Korean Phys. Soc. 49, 472–476 (2006)
Zhou, P., Li, X., Deng, F., et al.: Efficient three-party quantum secret sharing with single photons. Chin. Phys. Lett. 24, 2181–2184 (2007)
Wang, T., Wen, Q.: Security of a kind of quantum secret sharing with single photons. Quantum Inf. Comput. 11, 434–443 (2011)
Wang, J., Li, L., Peng, H., et al.: Quantum-secret-sharing scheme based on local distinguishability of orthogonal multiqudit entangled states. Phys. Rev. A 95, 022320 (2017)
Cai, X., Wang, T., Zhang, R., et al.: Security of verifiable threshold quantum secret sharing with sequential communication. IEEE Access 7, 134854–134861 (2019)
Mashhadi, S.: General secret sharing based on quantum Fourier transform. Quantum Inf. Process. 18 (2019)
Sutradhar, K., Om, H.: Efficient quantum secret sharing without a trusted player. Quantum Inf. Process. 19 (2020)
Cao, H., Ma, W.: (t, n) threshold quantum state sharing scheme based on linear equations and unitary operation. IEEE Photonics J. 9, 1–7 (2017)
Yang, Y., Gao, F., Wu, X., et al.: Quantum secret sharing via local operations and classical communication. Sci. Rep. 5, 16967 (2015)
Qin, H., Zhu, X., Dai, Y.: (t, n) Threshold quantum secret sharing using the phase shift operation. Quantum Inf. Process. 14, 2997–3004 (2015)
Qin, H., Dai, Y.: Verifiable (t, n) threshold quantum secret sharing using d-dimensional Bell state. Inf. Process. Lett. 116, 351–355 (2016)
Lu, C., Miao, F., Meng, K., et al.: Threshold quantum secret sharing based on single qubit. Quantum Inf. Process. 17 (2018)
Qin, H., Dai, Y.: d-Dimensional quantum state sharing with adversary structure. Quantum Inf. Process. 15, 1689–1701 (2016)
Liu, L., Li, Z., Han, Z., et al.: A quantum secret sharing scheme with verifiable function. Eur. Phys. J. D 74 (2020)
Song, X., Liu, Y., Deng, H., et al.: (t, n) threshold d-level quantum secret sharing. Sci. Rep. 7, 6366 (2017)
Yang, W., Huang, L., Shi, R., et al.: Secret sharing based on quantum Fourier transform. Quantum Inf. Process. 12, 2465–2474 (2013)
Lu, H., Zhang, Z., Chen, L., et al.: Secret sharing of a quantum state. Phys. Rev. Lett. 117, 030501 (2016)
Wei, K., Yang, X., Zhu, C., et al.: Quantum secret sharing without monitoring signal disturbance. Quantum Inf. Process. 17, 230 (2018)
Jia, H., Wen, Q., Gao, F., et al.: Dynamic quantum secret sharing. Phys. Lett. A 376, 1035–1041 (2012)
Hsu, J.L., Chong, S.K., Hwang, T., et al.: Dynamic quantum secret sharing. Quantum Inf. Process. 12, 331–344 (2013)
Liao, C.H., Yang, C.W., Hwang, T.: Comment on “Dynamic quantum secret sharing”. Quantum Inf. Process. 12, 3143–3147 (2013)
Liao, C.H., Yang, C.W., Hwang, T.: Dynamic quantum secret sharing protocol based on GHZ state. Quantum Inf. Process. 13, 1907–1916 (2014)
Qin, H., Dai, Y.: Dynamic quantum secret sharing by using d-dimensional GHZ state. Quantum Inf. Process. 16, 64 (2017)
Song, Y., Li, Z., Li, Y.: A dynamic multiparty quantum direct secret sharing based on generalized GHZ states. Quantum Inf. Process. 17, 244 (2018)
Yang, C.W., Tsai, C.W.: Efficient and secure dynamic quantum secret sharing protocol based on bell states. Quantum Inf. Process. 19, 162 (2020)
Cai, Q.Y., Li, W.B.: Deterministic secure communication without using entanglement. Chin. Phys. Lett. 21, 601–603 (2004)
Deng, F.G., Long, G.L.: Secure direct communication with a quantum one-time pad. Phys. Rev. A 69 (2004)
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This research was supported by the National Natural Science Foundation of China (Grant No. 61772168)
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Li, F., Yan, J. & Zhu, S. General quantum secret sharing scheme based on two qudit. Quantum Inf Process 20, 328 (2021). https://doi.org/10.1007/s11128-021-03270-2
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DOI: https://doi.org/10.1007/s11128-021-03270-2