Auxiliary-qubit-assisted holonomic quantum gates on superconducting circuits

Embraced with the built-in noise resilience feature for quantum evolutions, holonomic quantum computation provides high fidelity quantum gate operations, and thus has attracted much attention from researchers for stepping forward the development of robust quantum computation. Here in this work, we propose a physically feasible scheme to perform scalable non-adiabatic non-Abelian holonomic quantum computations in a physical system whose Hamiltonian is described by a quantum spin model with tunable coupling strengths. Our scheme is realizable from experimentally achievable Hamiltonian in superconducting-qubit systems and therefore, it is of practical importance in implementing protected quantum computation.