Beating the 3 dB Limit for Intracavity Squeezing and Its Application to Nondemolition Qubit Readout

TL;DR

This paper introduces a method using a quantum degenerate parametric amplifier to surpass the traditional 3 dB intracavity squeezing limit, significantly enhancing qubit readout precision in quantum computing.

Contribution

The authors propose a novel two-tone driving scheme for DPAs that achieves arbitrarily high intracavity squeezing, improving quantum measurement accuracy beyond previous limits.

Findings

Achieves unlimited intracavity squeezing with a two-tone drive.

Exponentially increases signal-to-noise ratio for qubit readout.

Reduces measurement error by many orders of magnitude.

Abstract

While the squeezing of a propagating field can, in principle, be made arbitrarily strong, the cavity-field squeezing is subject to the well-known 3 dB limit, and thus has limited applications. Here, we propose the use of a fully quantum degenerate parametric amplifier (DPA) to beat this squeezing limit. Specifically, we show that by {\it simply} applying a two-tone driving to the signal mode, the pump mode can, {\it counterintuitively}, be driven by the photon loss of the signal mode into a squeezed steady state with, in principle, an {\it arbitrarily high} degree of squeezing. Furthermore, we demonstrate that this intracavity squeezing can increase the signal-to-noise ratio of longitudinal qubit readout {\it exponentially} with the degree of squeezing. Correspondingly, an improvement of the measurement error by {\it many orders of magnitude} can be achieved even for modest parameters. In stark contrast, using intracavity squeezing of the semiclassical DPA {\it cannot} practically increase the signal-to-noise ratio and thus improve the measurement error. Our results extend the range of applications of DPAs and open up new opportunities for modern quantum technologies.