Floquet generation of magnonic NOON state

Abstract

We propose a concise and deterministic protocol to generate NOON states in a hybrid system consisting of a superconducting qubit, a circuit resonator mode, and two magnon modes, based on the Floquet engineering. In particular, we construct a time-reversal-symmetry broken Hamiltonian for the chiral state propagation of the three continuous-variable modes depending on the qubit state, by the time modulation over the qubit-resonator interaction and the magnon frequency. Then an arbitrary magnonic NOON state can be generated by a typical preparing-and-measurement procedure. We analysis the robustness of our protocol against the systematic errors in the qubitmagnon coupling strength, the Floquet-driving intensity, and the counter-rotating interactions. We can obtain a high-fidelity NOON state in the presence of the quantum dissipation on all components.