Noncyclic nonadiabatic holonomic quantum gates via shortcuts to adiabaticity

High-fidelity quantum gates are essential for large-scale computation. However, any manipulation will inevitably affected by noises, systematic errors and decoherence effects, which lead to infidelity of a target task. Therefore, implementing high-fidelity, robust fast is highly desired. Here, we propose scheme construct high-fidelity holonomic universal computation based on resonant interaction three-level systems via shortcuts adiabaticity. In our proposal, the Hamiltonian induce noncyclic non-Abelian geometric phases can be inversely engineered with less evolution time demanding experimentally, leading in simple setup. Besides, readily realizable physical system currently pursued implementation proposal represents promising way towards fault-tolerant