We propose an approach that achieves high-capacity quantum key distribution using Chebyshev-map values corresponding to Lucas numbers coding. In particular, we encode a key with the Chebyshev-map values corresponding to Lucas numbers and then use k-Chebyshev maps to achieve consecutive and flexible key expansion and apply the pre-shared classical information between Alice and Bob and fountain codes for privacy amplification to solve the security of the exchange of classical information via the classical channel. Consequently, our high-capacity protocol does not have the limitations imposed by orbital angular momentum and down-conversion bandwidths, and it meets the requirements for longer distances and lower error rates simultaneously.
['Hong Lai', 'Mehmet A. Orgun', 'Josef Pieprzyk', 'Jing Li', 'Ming-Xing Luo', 'Jinghua Xiao', 'Fuyuan Xiao']
High-capacity quantum key distribution using Chebyshev-map values corresponding to Lucas numbers coding