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

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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: γd=αg+ηγg, where γd and γg are respectively the dynamic and geometric phases accumulated in the quantum gate operation, with η as a constant and αg 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.