Experimental implementation of high-fidelity unconventional geometric quantum gates using NMR interferometer

Abstract

Following a key idea of unconventional geometric quantum computation developed earlier [Phys. Rev. Lett. 91, 197902 (2003)], here we propose a more general scheme in such an intriguing way: $γ_{d}=α_{g}+ηγ_{g}$, where $γ_{d}$ and $γ_{g}$ are respectively the dynamic and geometric phases accumulated in the quantum gate operation, with $η$ as a constant and $α_{g}$ being dependent only on the geometric feature of the operation. More arrestingly, we demonstrate the first experiment to implement a universal set of such kind of generalized unconventional geometric quantum gates with high fidelity in an NMR system.