Composite nonadiabatic holonomic quantum computation

Abstract

Nonadiabatic holonomic quantum computation has robust feature in suppressing\ncontrol errors because of its holonomic feature. However, this kind of robust\nfeature is challenged since the usual way of realizing nonadiabatic holonomic\ngates introduces errors due to systematic errors in the control parameters. To\nresolve this problem, we here propose a composite scheme to realize\nnonadiabatic holonomic gates. Our scheme can suppress systematic errors while\npreserving holonomic robustness. It is particularly useful when the evolution\nperiod is shorter than the coherence time. We further show that our composite\nscheme can be protected by decoherence-free subspaces. In this case, the\nstrengthened robust feature of our composite gates and the coherence\nstabilization virtue of decoherence-free subspaces are combined.\n