Symmetry-Reduced Variational Quantum Simulation of the U(5)→ SU(3) Quantum Phase Transition in the Interacting Boson Model
Abstract
The spherical-to-deformed quantum phase transition of the Interacting Boson Model (IBM) is investigated using the variational quantum eigensolver (VQE). The U(5)--SU(3) transitional Hamiltonian is studied with χ=−√7/2. We develop a symmetry-preserving, minimum-qubit VQE framework for collective nuclear models, achieving a substantial reduction in qubit requirements without compromising the finite-size quantum-phase-transition physics. The transition is characterized through the normalized d-boson occupation and ground-state energy derivatives. Finite-size results are found to approach the analytic critical point ξc=8/17≃0.470588, with an independent order-parameter extrapolation yielding ξ∞=0.46986(61). The VQE reproduces ground-state energies and structural observables to numerical precision. These results demonstrate the potential of symmetry-reduced VQE for efficient quantum simulations of collective nuclear dynamics and quantum phase transitions.
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BibTeX
@misc{etminan2026symmetryreduced,
title = {{Symmetry-Reduced Variational Quantum Simulation of the $U(5)\rightarrow SU(3)$ Quantum Phase Transition in the Interacting Boson Model}},
author = {Faisal Etminan},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.00349},
eprint = {2609.00349},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.00349},
note = {CC BY-NC-SA 4.0},
}
RIS
TY - UNPB
TI - Symmetry-Reduced Variational Quantum Simulation of the U(5)→ SU(3) Quantum Phase Transition in the Interacting Boson Model
AU - Faisal Etminan
PY - 2026
DA - 2026/09/05
PB - arXiv
DO - 10.48550/arxiv.2609.00349
UR - https://arxiv.org/abs/2609.00349
AB - The spherical-to-deformed quantum phase transition of the Interacting Boson Model (IBM) is investigated using the variational quantum eigensolver (VQE). The U(5)--SU(3) transitional Hamiltonian is studied with χ=−√7/2. We develop a symmetry-preserving, minimum-qubit VQE framework for collective nuclear models, achieving a substantial reduction in qubit requirements without compromising the finite-size quantum-phase-transition physics. The transition is characterized through the normalized d-boson occupation and ground-state energy derivatives. Finite-size results are found to approach the analytic critical point ξ_c=8/17≃0.470588, with an independent order-parameter extrapolation yielding ξ_∞=0.46986(61). The VQE reproduces ground-state energies and structural observables to numerical precision. These results demonstrate the potential of symmetry-reduced VQE for efficient quantum simulations of collective nuclear dynamics and quantum phase transitions.
ER -