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

• URL: http://arxiv.org/abs/2507.07875v2
• Date: Fri, 18 Jul 2025 16:18:00 GMT
• Title: Preparing spin-squeezed states in Rydberg atom arrays via quantum optimal control
• Authors: Edison S. Carrera, Harold Erbin, Grégoire Misguich,
• Abstract summary: We present a quantum optimal control protocol to generate highly spin-squeezed states in Rydberg atom arrays.<n>We construct time-dependent pulse sequences that steer an initial product state toward highly entangled, spin-squeezed states.<n>This work demonstrates the potential of quantum optimal control methods for preparing highly spin-squeezed states.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: 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 $\xi_W^2$ 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 $\xi_W^2 = 0.227$ 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.

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