Scalable nonadiabatic holonomic quantum computation on a superconducting qubit lattice

Abstract

Geometric phase is an indispensable element for achieving robust and\nhigh-fidelity quantum gates due to its built-in noise-resilience feature.\nHowever, due to the complexity of manipulation and the intrinsic leakage of the\nencoded quantum information to non-logical-qubit basis, the experimental\nrealization of universal nonadiabatic holonomic quantum computation is very\ndifficult. Here, we propose to implement scalable nonadiabatic holonomic\nquantum computation with decoherence-free subspace encoding on a\ntwo-dimensional square superconducting transmon-qubit lattice, where only the\ntwo-body interaction of neighboring qubits, from the simplest capacitive\ncoupling, is needed. Meanwhile, we introduce qubit-frequency driving to achieve\ntunable resonant coupling for the neighboring transmon qubits, and thus\navoiding the leakage problem. In addition, our presented numerical simulation\nshows that high-fidelity quantum gates can be obtained, verifying the\nadvantages of the robustness and scalability of our scheme. Therefore, our\nscheme provides a promising way towards the physical implementation of robust\nand scalable quantum computation.\n