Noncyclic Geometric Quantum Gates with Smooth Paths via Invariant‐Based Shortcuts

Nonadiabatic geometric quantum computation is dedicated to the realization of high-fidelity and robust gates, which are necessary for fault-tolerant computation. However, it limited by cyclic mutative evolution path, usually requires longer gate-time abrupt pulse control, weakening gate performance. Here, we propose a scheme realize gates with noncyclic nonadiabatic via invariant-based shortcuts, where universal can be induced in one step without path mutation time also effectively shortened. Our numerical simulations show that, comparing conventional dynamical constructed have stronger resistance not only systematic errors, both qubit-frequency drift deviation amplitude driving fields, but environment-induced decoherence effect. In addition, our implemented on superconducting circuit platform, fidelities single-qubit two-qubit higher than 99.97$\%$ 99.84$\%$, respectively. Therefore, provides promising way scalable