Two-mode squeezing operator in circuit QED

TL;DR

This paper proposes a theoretical scheme to generate highly squeezed two-mode states in circuit QED using a superconducting qubit, with potential applications in quantum information and metrology.

Contribution

It introduces a novel method for implementing two-mode squeezing in circuit QED with high squeezing levels and robustness to dissipation effects.

Findings

Achieves over 10 dB of two-mode squeezing in theory.

Demonstrates robustness of the scheme against dissipation mechanisms.

Enables squeezing of arbitrary initial states for quantum applications.

Abstract

We theoretically investigate the implementation of the two-mode squeezing operator in circuit quantum electrodynamics. Inspired by a previous scheme for optical cavities [Phys. Rev. A $\textbf{73}$, 043803(2006)], we employ a superconducting qubit coupled to two nondegenerate quantum modes and use a driving field on the qubit to adequately control the resonator-qubit interaction. Based on the generation of two-mode squeezed vacuum states, firstly we analyze the validity of our model in the ideal situation and then we investigate the influence of the dissipation mechanisms on the generation of the two-mode squeezing operation, namely the qubit and resonator mode decays and qubit dephasing. We show that our scheme allows the generation of highly squeezed states even with the state-of-the-art parameters, leading to a theoretical prediction of more than 10 dB of two-mode squeezing. Furthermore, our protocol is able to squeeze an arbitrary initial state of the resonators, which makes our scheme attractive for future applications in continuous-variable quantum information processing and quantum metrology in the realm of circuit quantum electrodynamics.