Vacuum squeezing in resonant SNAIL parametric amplifier operated near the Kerr-free point

Squeezed states are an important resource in certain quantum measurements and computing architectures. Single-mode squeezed states of traveling microwave photons are commonly created by quantum-limited parametric amplifiers operated in phase-sensitive mode. One major impediment to creating a highly squeezed state is the distortion of the state at high gain due to Kerr (fourth-order) nonlinearity, which is innate to most Josephson junction-based parametric amplifiers. One exception is the SNAIL parametric amplifier, which can be designed and flux-biased to reach a point where the Kerr nonlinearity reaches zero and third-order nonlinearity is still significant. We will report experimental results on the degree of squeezing of a resonant three-wave-mixing SNAIL parametric amplifier operated in the vicinity of its Kerr-free point.