Previous schemes of nonadiabatic holonomic quantum computation were focused mainly on realizing a universal set of elementary gates. Multiqubit controlled gates could be built by decomposing them into a series of the universal gates. In this article, we propose an approach for realizing nonadiabatic holonomic multiqubit controlled gates in which a (n+1)-qubit controlled-(n⋅σ) gate is realized by (2n−1) basic operations instead of decomposing it into the universal gates, whereas an (n+1)-qubit controlled arbitrary rotation gate can be obtained by combining only two such controlled-(n⋅σ) gates. Our scheme greatly reduces the operations of nonadiabatic holonomic quantum computation.
@article{arxiv.1912.09796,
title = {Nonadiabatic holonomic multiqubit controlled gates},
author = {P. Z. Zhao and G. F. Xu and D. M. Tong},
journal= {arXiv preprint arXiv:1912.09796},
year = {2019}
}