Quantum optimal control of the Dicke manifold in dipolar Rydberg atom arrays
Abstract
The ability to engineer and control quantum states of many-body systems is a central challenge in quantum information science. For a register of N qubits, the full Hilbert space dimension grows exponentially as 2N, rendering generic state preparation and control infeasible without exploiting structure or symmetry. A particularly important and physically motivated restriction is to the fully symmetric subspace, spanned by the Dicke states, which are simultaneous eigenstates of collective spin J=N/2. Ensembles of Rydberg atoms interacting via electric dipoles in two-dimensional tweezer arrays form a promising platform for achieving such control. However, the finite range of dipole-dipole interactions poses a challenge to generating and controlling the Dicke manifold because the Hamiltonian incurs leakage from the computational subspace. To counteract this leakage, we perform quantum optimal control algorithms on a truncated Hilbert space according to our newly developed method of ``irrep distillation'' (IRD), which captures the process by which the symmetric subspace couples to leakage error-spaces, using only linear-scaling Hilbert dimension. We implement gradient ascent pulse engineering (GrAPE) on control schemes with little or no local addressing, to generate resourceful states like Greenberger-Horne-Zeilinger, Dicke, and extremal quantum states. We benchmark each scheme of IRD-GrAPE for its quantum speed limit (QSL), as well as exactly testing pulse fidelities on small system sizes and predicting fidelities using higher-order IRD on larger systems.
Versions
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BibTeX
@misc{panniergunther2026quantum,
title = {{Quantum optimal control of the Dicke manifold in dipolar Rydberg atom arrays}},
author = {Ivy Pannier-Günther and Vikas Buchemmavari and Pablo M. Poggi and Ivan H. Deutsch},
howpublished = {arXiv},
year = {2026},
month = jun,
doi = {10.48550/arxiv.2606.02283},
eprint = {2606.02283},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2606.02283},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Quantum optimal control of the Dicke manifold in dipolar Rydberg atom arrays
AU - Ivy Pannier-Günther
AU - Vikas Buchemmavari
AU - Pablo M. Poggi
AU - Ivan H. Deutsch
PY - 2026
DA - 2026/06/09
PB - arXiv
DO - 10.48550/arxiv.2606.02283
UR - https://arxiv.org/abs/2606.02283
AB - The ability to engineer and control quantum states of many-body systems is a central challenge in quantum information science. For a register of N qubits, the full Hilbert space dimension grows exponentially as 2^N, rendering generic state preparation and control infeasible without exploiting structure or symmetry. A particularly important and physically motivated restriction is to the fully symmetric subspace, spanned by the Dicke states, which are simultaneous eigenstates of collective spin J=N/2. Ensembles of Rydberg atoms interacting via electric dipoles in two-dimensional tweezer arrays form a promising platform for achieving such control. However, the finite range of dipole-dipole interactions poses a challenge to generating and controlling the Dicke manifold because the Hamiltonian incurs leakage from the computational subspace. To counteract this leakage, we perform quantum optimal control algorithms on a truncated Hilbert space according to our newly developed method of ``irrep distillation'' (IRD), which captures the process by which the symmetric subspace couples to leakage error-spaces, using only linear-scaling Hilbert dimension. We implement gradient ascent pulse engineering (GrAPE) on control schemes with little or no local addressing, to generate resourceful states like Greenberger-Horne-Zeilinger, Dicke, and extremal quantum states. We benchmark each scheme of IRD-GrAPE for its quantum speed limit (QSL), as well as exactly testing pulse fidelities on small system sizes and predicting fidelities using higher-order IRD on larger systems.
ER -