Dynamically Corrected Nonadiabatic Holonomic Quantum Gates

The key for realizing fault-tolerant quantum computation lies in maintaining the coherence of all qubits so that high-fidelity and robust manipulations on them can be achieved. One promising approaches is to use geometric phases construction universal gates, due their intrinsic robustness against certain types local noises. However, limitations previous implementations, noise-resilience feature nonadiabatic holonomic (NHQC) still needs improved. Here, combining with dynamical correction technique, we propose a general protocol NHQC simplified control, which greatly suppress effect accompanied X errors, retaining main merit operations. Numerical simulation shows performance our gate much better than protocols. Remarkably, when incorporating decoherence-free subspace encoding collective dephasing noise, scheme also involved Z errors. In addition, outline physical implementation insensitive both Therefore, provides strategy scalable computation.