Superconducting Nonadiabatic Geometric Quantum Computation with Optimal Control

In order to realize quantum gates with high fidelity and strong robustness, a scheme of nonadiabatic geometric quantum computation based on superconducting quantum circuits is proposed. Arbitrary single-qubit geometric quantum gates can be realized by applying a time-dependent resonant microwave field to a superconducting qubit. Meanwhile, nontrivial two-qubit geometric quantum gates can be realized similarly on two capacitively coupled qubits. The results show that the proposed scheme not only have good robustness of geometric operations but also are compatible with optimal control technology to further enhance the gate robustness. The study makes an important step towards fault-tolerant solid-state quantum computation.