# Detection loss tolerant supersensitive phase measurement with an SU(1,1) interferometer

## TL;DR

This paper demonstrates a highly loss-tolerant SU(1,1) interferometer that surpasses shot noise limit by 2.3 dB, maintaining supersensitivity even with 80% detection loss, advancing quantum metrology and imaging.

## Contribution

It introduces a strongly unbalanced SU(1,1) interferometer with enhanced loss tolerance, enabling sub-shot-noise phase sensitivity under high detection losses.

## Key findings

- Achieved 2.3 dB phase sensitivity beyond shot noise limit.
- Maintained supersensitivity with up to 80% detection loss.
- Enabled potential applications in quantum imaging and spectral ranges with inefficient detection.

## Abstract

In an unseeded SU(1,1) interferometer composed of two cascaded degenerate parametric amplifiers, with direct detection at the output, we demonstrate a phase sensitivity overcoming the shot noise limit by 2.3 dB. The interferometer is strongly unbalanced, with the parametric gain of the second amplifier exceeding the gain of the first one by a factor of 2, which makes the scheme extremely tolerant to detection losses. We show that by increasing the gain of the second amplifier, the phase supersensitivity of the interferometer can be preserved even with detection losses as high as 80%. This finding can considerably improve the state-of-the-art interferometry, enable sub-shot-noise phase sensitivity in spectral ranges with inefficient detection, and allow extension to quantum imaging.