Fast universal quantum gates on microwave photons with all-resonance operations in circuit QED

Quantum stark effect on superconducting qubits in circuit quantum electrodynamics (QED) has been used to construct universal quantum entangling gates on superconducting resonators in previous works. It is a second-order coupling effect between the resonator and the qubit in the dispersive regime, which leads to a long-time state-selective rotation on the qubit. Here, we use the quantum resonance operations to construct the fast universal quantum gates on superconducting resonators in a microwave-photon quantum processor composed of some superconducting resonators coupled to a superconducting transmon, phase, or Xmon qutrit assisted by circuit QED in the dispersive regime, including the controlled-phase (c-phase) gate on two microwave-photon resonators and the controlled-controlled phase (cc-phase) gates on three microwave-photon resonators. Compared with previous works, our universal quantum gates have the higher fidelities and shorter operation times. The fidelity of our c-phase gate is 98.7% within the operation time of 40.1 ns and that of our cc-phase gate is 94.7% within 60 ns. Moreover, they do not require any drive field.