A New Quantum Secret Sharing Scheme Based on Mutually Unbiased Bases

Abstract

In this paper, we put forward a new secret sharing scheme. First, we give the mutually unbiased bases on the p 2 -dimensional quantum system where p is an odd prime number, and then we construct the corresponding unitary transformation based on the properties of these mutually unbiased bases. Second, we construct a (N, N) threshold secret sharing scheme by using unitary transformation between these mutually unbiased bases. At last, we analyze the scheme’s security by several ways, for example, intercept-and-resend attack, entangle-and-measure attack, trojan horse attack, and so on. Using our method, we construct a single-particle quantum protocol involving only one qudit, and the method shows much more scalability than other schemes.