Analysis of efficient and secure dynamic quantum secret sharing protocol based on Bell states

Dynamic secret sharing can deal with the problems of both adding agents and revoking ones, which makes it more practical and flexible compared with general secret sharing. In this work, we analyze an efficient and secure dynamic quantum secret sharing protocol based on Bell states, and find that there is an unnoticed problem that it does not satisfy the requirement for dynamic secret sharing in the sense that if the access structure has been completed, then both adding an agent and revoking one become impossible by the way in this protocol; or else if adding an agent or revoking one can be realized, then the previous access structure has not been implemented in fact. Furthermore, we discuss how to solve this problem and give a possible way to improve this protocol.

[1]  Yuan Wang,et al.  Member expansion in quantum (t,n) threshold secret sharing schemes , 2011 .

[2]  Su-Juan Qin,et al.  Dynamic quantum secret sharing , 2012 .

[3]  Huawang Qin,et al.  Dynamic quantum secret sharing by using d-dimensional GHZ state , 2017, Quantum Inf. Process..

[4]  Christian Kurtsiefer,et al.  Experimental single qubit quantum secret sharing. , 2005, Physical review letters.

[5]  Qin Li,et al.  Sharing a quantum secret without a trusted party , 2008, Quantum Inf. Process..

[6]  Adi Shamir,et al.  How to share a secret , 1979, CACM.

[7]  V. Buzek,et al.  Quantum secret sharing , 1998, quant-ph/9806063.

[8]  Dong Wang,et al.  Cryptanalysis and improvement of dynamic quantum secret sharing protocol based on two-particle transform of Bell states , 2019, Quantum Inf. Process..

[9]  Xiu-Bo Chen,et al.  Multiparty quantum secret sharing based on Bell measurement , 2009 .

[10]  Zhihui Li,et al.  A dynamic multiparty quantum direct secret sharing based on generalized GHZ states , 2018, Quantum Inf. Process..

[11]  Moon Ho Lee,et al.  A multiparty quantum proxy group signature scheme for the entangled-state message with quantum Fourier transform , 2011, Quantum Inf. Process..

[12]  Ming-Ming Wang,et al.  An asymmetric dynamic multiparty quantum secret sharing against active attacks , 2020 .

[13]  Kejin Wei,et al.  Multi-group dynamic quantum secret sharing with single photons , 2016 .

[14]  Chia-Wei Tsai,et al.  Efficient and secure dynamic quantum secret sharing protocol based on bell states , 2020, Quantum Inf. Process..

[15]  Changde Xie,et al.  Quantum Secret Sharing Among Four Players Using Multipartite Bound Entanglement of an Optical Field. , 2018, Physical review letters.

[16]  Wansu Bao,et al.  Dynamic quantum secret sharing protocol based on two-particle transform of Bell states , 2018, Chinese Physics B.

[17]  R. Srikanth,et al.  An Integrated Hierarchical Dynamic Quantum Secret Sharing Protocol , 2015 .

[18]  Tian-Yin Wang,et al.  Cryptanalysis of dynamic quantum secret sharing , 2013, Quantum Inf. Process..

[19]  Xiu-Bo Chen,et al.  An efficient and secure multiparty quantum secret sharing scheme based on single photons , 2008 .

[20]  Fei Gao,et al.  Security of Verifiable Threshold Quantum Secret Sharing With Sequential Communication , 2019, IEEE Access.

[21]  宋婷婷,et al.  Participant attack on quantum secret sharing based on entanglement swapping , 2009 .

[22]  Chia-Wei Tsai,et al.  Dynamic quantum secret sharing , 2013, Quantum Inf. Process..

[23]  Qiaoyan Wen,et al.  Cryptanalysis of the Hillery-Buzek-Berthiaume quantum secret-sharing protocol , 2007, 0801.2418.

[24]  Lixiang Li,et al.  A fully dynamic secret sharing scheme , 2019, Inf. Sci..

[25]  Chun-Wei Yang,et al.  Dynamic quantum secret sharing protocol based on GHZ state , 2014, Quantum Inf. Process..

[26]  Jian-Wei Pan,et al.  Efficient multiparty quantum-secret-sharing schemes , 2004, quant-ph/0405179.

[27]  Tian-Yin Wang,et al.  Security of a kind of quantum secret sharing with entangled states , 2017, Scientific Reports.