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Semi-quantum key distribution is traditionally based on two-level quantumsystems. In this paper, an unconditional security of a semi quantum keydistribution protocol based on higher-dimensional systems using variousmutually unbiased bases is presented. We first consider the three dimensionalcase using three and four mutually unbiased bases and derive a lower bound forthe key rate as a function of the quantum channel's noise. We then generalizethe result to a semi-quantum key distribution protocol that employs differentnumber of mutually unbiased bases for four-dimensional states. It is found thatbasing the semi-quantum key distribution protocol on higher-dimensionalmutually unbiased bases can increase the tolerable threshold of the noise andthe maximum achievable value of the secret key rate.

Mutually Unbiased Bases In 3 and 4 Dimensions Semi-quantum Key Distribution Protocol