Robust quantum-state generation in symmetric spin networks
Phys. Rev. A 113, 052222 – Published 20 May, 2026
DOI: https://doi.org/10.1103/hby8-j1v9
Abstract
In this work, we consider a parameterized Ising model with long-range symmetric pairwise interactions on a network of spin- 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 truncated moment dynamics. Simulation results demonstrate the efficacy of this method in achieving states of significant interest in quantum sensing, including the Greenberger-Horne-Zeilinger and states.
