Robust Quantum State Generation in Symmetric Spin Networks

• URL: http://arxiv.org/abs/2511.01085v1
• Date: Sun, 02 Nov 2025 21:31:51 GMT
• Title: Robust Quantum State Generation in Symmetric Spin Networks
• Authors: Andre Luiz P. de Lima, Luke S. Baker, Anatoly Zlotnik, Andrew K. Harter, Michael J. Martin, Jr-Shin Li,
• Abstract summary: We consider a parameterized Ising model with long-range symmetric pairwise interactions on a network of spin $frac12$ particles.<n>We propose a method for designing robust electromagnetic amplitude pulses based on a moment quantization approach.
• Score: 1.6624933615451845
• License: http://creativecommons.org/licenses/by-nc-nd/4.0/
• Abstract: In this work, we consider a parameterized Ising model with long-range symmetric pairwise interactions on a network of spin $\frac{1}{2}$ particles. The system is designed with symmetric dynamics, allowing for the reduction of the state space to a subspace defined by the set of Dicke states. We propose a method for designing robust electromagnetic amplitude pulses based on a moment quantization approach. The introduced parameter accounts for uncertainties in the electromagnetic field, resulting in a family of distinct Hamiltonians. By employing a discretized moment-based quantization technique, we design a control pulse capable of simultaneously steering an infinite collection of dynamical systems to compensate for parameter variations. This approach benefits from the duality between the infinite-dimensional parameterized system and its finite-dimensional trucnated moment dynamics. Simulation results demonstrate the efficacy of this method in achieving states of significant interest in quantum sensing, including the GHZ and W states.

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