Variational spin-squeezing algorithms on programmable quantum sensors
Raphael Kaubruegger, Pietro Silvi, Christian Kokail, Rick van Bijnen,, Ana Maria Rey, Jun Ye, Adam M. Kaufman, Peter Zoller

TL;DR
This paper introduces variational quantum algorithms designed for atomic tweezer arrays that generate entangled states, such as spin-squeezed states, to enhance precision in quantum sensing, with robustness to noise and favorable scalability.
Contribution
It presents a novel variational approach tailored for programmable quantum sensors using tweezer arrays, enabling on-demand entangled state generation optimized via feedback.
Findings
Successfully generates spin-squeezed states on Sr atom tweezer arrays.
Numerical simulations show robustness to noise and improved performance over existing protocols.
Complexity scales favorably with system size, indicating practical feasibility.
Abstract
Arrays of atoms trapped in optical tweezers combine features of programmable analog quantum simulators with atomic quantum sensors. Here we propose variational quantum algorithms, tailored for tweezer arrays as programmable quantum sensors, capable of generating entangled states on-demand for precision metrology. The scheme is designed to generate metrological enhancement by optimizing it in a feedback loop on the quantum device itself, thus preparing the best entangled states given the available quantum resources. We apply our ideas to generate spin-squeezed states on Sr atom tweezer arrays, where finite-range interactions are generated through Rydberg dressing. The complexity of experimental variational optimization of our quantum circuits is expected to scale favorably with system size. We numerically show our approach to be robust to noise, and surpassing known protocols.
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