发表机构
University of Birjand; RIKEN（比尔詹德大学; 理化学研究所）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
该研究针对IBM的U(5)→SU(3)量子相变，开发保对称少量子比特VQE框架，精准模拟相变并验证其在集体核动力学量子模拟中的潜力。
AI 中文摘要
本文利用变分量子本征求解器（VQE）研究了相互作用玻色子模型（IBM）从球形到形变的量子相变，探讨了χ=-√7/2的U(5)-SU(3)过渡哈密顿量。我们开发了适用于集体核模型的保对称、量子比特数最少的VQE框架，在不损失有限尺寸量子相变物理特性的前提下大幅降低了量子比特需求。通过归一化d玻色子占据数和基态能量导数表征该相变，有限尺寸结果趋近于解析临界点ξ_c=8/17≈0.470588，独立序参量外推得到ξ_∞=0.46986(61)。VQE以数值精度重现了基态能量和结构可观测量，证明了对称约化VQE在集体核动力学与量子相变的高效量子模拟中具有潜力。
英文摘要
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.
Comments34 pages, 8 Figures, 4 tables
