Decoherence-suppressed nonadiabatic holonomic quantum computation

Nonadiabatic holonomic quantum computation (NHQC) provides an essential way to construct robust and high-fidelity gates due its geometric features. However, NHQC is more sensitive decay dephasing errors than a conventional dynamical gate since it requires ancillary intermediate state. Here, we utilize the Hamiltonian reverse engineering technique study influence of intermediate-state decoherence on fidelity, propose schemes arbitrary single-qubit nontrivial two-qubit with high fidelity robustness decoherence. Although proposed method generic can be applied many experimental platforms, such as superconducting qubits, trapped ions, dots, here take nitrogen-vacancy center example show that significantly enhanced from 89% 99.6% in contrast recent [Phys. Rev. Lett. 119, 140503 (2017); Nat. Photonics 11, 309 Opt. 43, 2380 (2018)], against also improved. All all, our scheme promising for fault-tolerant computation.