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

Abstract

Stark shift on a superconducting qubit 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 slow state-selective rotation on the qubit. Here, we present two proposals to construct the fast universal quantum gates on superconducting resonators in a microwave-photon quantum processor composed of multiple superconducting resonators coupled to a superconducting transmon qutrit, that is, the controlled-phase (c-phase) gate on two microwave-photon resonators and the controlled-controlled phase (cc-phase) gates on three resonators, resorting to quantum resonance operations, without any drive field. Compared with previous works, our universal quantum gates have the higher fidelities and shorter operation times in theory. The numerical simulation shows that the fidelity of our c-phase gate is 99.57% within about 38.1 ns and that of our cc-phase gate is 99.25% within about 73.3 ns.

12 pages, 6 figures, 2 tables

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• Quantum information processing on nitrogen-vacancy ensembles with the local resonance assisted by circuit QED
• Circuit QED: single-step realization of a multiqubit controlled phase gate with one microwave photonic qubit simultaneously controlling $n-1$ microwave photonic qubits
• One-step implementation of a multi-target-qubit controlled-phase gate with photonic qubits encoded via eigenstates of the photon-number parity operator
• A proposal for the implementation of quantum gates in an optomechanical system via phonon blockade
• Implementations of two-photon four-qubit Toffoli and Fredkin gates assisted by nitrogen-vacancy centers
• Multiple multi-control unitary operations: implementation and applications
• Dynamics and multiqubit entanglement in distant resonators
• One-step implementation of a multi-target-qubit controlled phase gate with cat-state qubits in circuit QED