High-dimensional deterministic multiparty quantum secret sharing without unitary operations

Authors:
Zhi-Hao Liu;Han-Wu Chen;Juan Xu;Wen-Jie Liu;Zhi-Qiang Li
Affiliations:
School of Computer Science and Engineering, Southeast University, Nanjing, China 211189;School of Computer Science and Engineering, Southeast University, Nanjing, China 211189;School of Computer Science and Engineering, Southeast University, Nanjing, China 211189;School of Computer and Software, Nanjing University of Information Science and Technology, Nanjing, China 210044;College of Information Engineering, Yangzhou University, Yangzhou, China 225009
Venue:
Quantum Information Processing
Year:
2012

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Abstract

A deterministic multiparty quantum secret sharing scheme is put forward, in which Bell states in high-dimensional Hilbert space are used. Only by preforming High-dimensional Bell measurements, all agents can recover the secret according to the dealer's announcement when collaborating with each other. It shows that unitary operation for encoding deterministic secret is unnecessary in quantum communication. The security of the transmission of the high-dimensional Bell states can be ensured by randomly using one of the two mutually unbiased bases for eavesdropping checking, and thus by which the proposed quantum secret sharing scheme is secure against usual attacks. In addition, the proposed scheme has three advantages: generality, high resource capacity and high security.