Curator's Take
AI Commentary
This article shows that a carefully designed symmetry‑preserving ansatz can slash the qubit count needed to simulate collective nuclear models while still capturing the subtle $U(5)\!\to\!SU(3)$ quantum phase transition with near‑exact precision. By demonstrating that a minimal‑qubit VQE reproduces both ground‑state energies and order‑parameter behavior across the critical point, it provides a concrete proof‑of‑principle for using variational algorithms to study finite‑size many‑body physics on noisy intermediate‑scale quantum devices. The work builds on recent VQE studies of condensed‑matter phase transitions and points toward scalable quantum simulations of complex nuclear dynamics without prohibitive hardware overhead.
— Mark Eatherly
Summary
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 $χ=-\sqrt{7}/2$. 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 $ξ_c=8/17\simeq0.470588$, with an independent order-parameter extrapolation yielding $ξ_\infty=0.46986(61)$. 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.