Optimized nonadiabatic holonomic quantum computation via reverse engineering

Abstract

The challenge in building high-fidelity quantum gates lies in overcoming control errors and decoherence effects caused by the coupling between the quantum system and the external environment. Nonadiabatic holonomic quantum computation uses the topological protection of the cyclic evolution of the computational subspace to make holonomic gates highly robust to control errors. Therefore, our main goal is to accelerate this evolution. Here we propose a general reverse engineering approach to combine the unconventional geometric quantum computation with optimized holonomic quantum computation [Bao-Jie Liu et al. Phys.Rev.Lett.123,100501 (2019)]. Our approach allows us to select evolution paths that require less time. Consequently, the proposed scheme is highly flexible and promising for achieving robust quantum computation in the future.