Preparing spin-squeezed states in Rydberg atom arrays via quantum optimal control

Fuente: arXiv
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Main Authors: Carrera, Edison S., Erbin, Harold, Misguich, Grégoire
Format: Preprint
Published: 2025
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author Carrera, Edison S.
Erbin, Harold
Misguich, Grégoire
author_facet Carrera, Edison S.
Erbin, Harold
Misguich, Grégoire
contents We present a quantum optimal control protocol to generate highly spin-squeezed states in Rydberg atom arrays coupled via Ising-type van der Waals interactions. Using gradient-based optimization techniques, we construct time-dependent pulse sequences that steer an initial product state toward highly entangled, spin-squeezed states with predefined magnetization and squeezing axes. We focus on the Wineland parameter $ξ_W^2$ to measure spin squeezing, and our approach achieves near-optimal spin squeezing in one-dimensional ring arrays of up to $N=8$ spins, significantly outperforming conventional quench dynamics for all system sizes studied. Remarkably, optimized pulse sequences can be directly scaled to larger arrays without additional optimization, achieving a squeezing parameter as low as $ξ_W^2 = 0.227$ in systems containing $N=50$ spins. This work demonstrates the potential of quantum optimal control methods for preparing highly spin-squeezed states, opening pathways to enhanced quantum metrology.
format Preprint
id arxiv_https___arxiv_org_abs_2507_07875
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Preparing spin-squeezed states in Rydberg atom arrays via quantum optimal control
Carrera, Edison S.
Erbin, Harold
Misguich, Grégoire
Quantum Physics
We present a quantum optimal control protocol to generate highly spin-squeezed states in Rydberg atom arrays coupled via Ising-type van der Waals interactions. Using gradient-based optimization techniques, we construct time-dependent pulse sequences that steer an initial product state toward highly entangled, spin-squeezed states with predefined magnetization and squeezing axes. We focus on the Wineland parameter $ξ_W^2$ to measure spin squeezing, and our approach achieves near-optimal spin squeezing in one-dimensional ring arrays of up to $N=8$ spins, significantly outperforming conventional quench dynamics for all system sizes studied. Remarkably, optimized pulse sequences can be directly scaled to larger arrays without additional optimization, achieving a squeezing parameter as low as $ξ_W^2 = 0.227$ in systems containing $N=50$ spins. This work demonstrates the potential of quantum optimal control methods for preparing highly spin-squeezed states, opening pathways to enhanced quantum metrology.
title Preparing spin-squeezed states in Rydberg atom arrays via quantum optimal control
topic Quantum Physics
url https://arxiv.org/abs/2507.07875