Generating NOON states in circuit QED using multi-photon resonance in the presence of counter-rotating interactions

TL;DR

This paper presents a fast and reliable method to generate NOON states in circuit QED systems by exploiting multi-photon resonances and counter-rotating interactions, reducing operational complexity.

Contribution

It introduces a new protocol utilizing effective Hamiltonians at multi-photon resonances to efficiently produce NOON states in superconducting circuit QED, improving on previous methods.

Findings

Protocol achieves high fidelity in NOON state generation.

Robustness tested against decoherence and crosstalk effects.

Reduces the number of operations compared to single-photon resonance methods.

Abstract

The NOON states are valuable quantum resources, which have a wide range of applications in quantum communication, quantum metrology, and quantum information processing. Here we propose a fast, concise and reliable protocol for deterministically generating the NOON states of two resonators coupled to a single $\triangle$-type superconducting qutrit. In particular, we derive the effective Hamiltonians at the multi-photon resonances by virtue of the strong counter-rotating interaction between the resonator modes and the qutrit. Based on these crucial effective Hamiltonians, our protocol simplifies the previous ones using the single-photon resonance and consequently reduces the number of operations for state preparation. To test the robustness of this protocol, we analyze the effects from both the decoherence including dissipation and dephasing and the crosstalk of resonator modes on the state fidelity through a Lindblad master equation in the eigenstates of the full Hamiltonian.