标题： 利用核哈密顿量中的对称性进行基态制备 显示英文标题

标题： Exploiting symmetries in nuclear Hamiltonians for ground state preparation

摘要： 利姆金和阿加西模型是简化的核模型，为量子模拟方法提供了自然的测试平台。 先前的研究已经探讨了变分量子本征求解器（VQE）用于寻找这些模型基态的适用性。 人们越来越意识到，如果VQE要被证明是可行的，我们需要基于问题的试探态，这些试探态需要考虑问题的对称性并使用巧妙的初始化策略。 在此，通过专注于利姆金和阿加西模型，我们研究如何在核物理基态问题的背景下做到这一点。 我们进一步利用我们的观察结果，讨论新的经典但受量子启发的方法在学习核问题基态方面的潜力。 显示英文摘要

摘要： The Lipkin and Agassi models are simplified nuclear models that provide natural test beds for quantum simulation methods. Prior work has investigated the suitability of the Variational Quantum Eigensolver (VQE) to find the ground state of these models. There is a growing awareness that if VQE is to prove viable, we will need problem inspired ans\"{a}tze that take into account the symmetry properties of the problem and use clever initialization strategies. Here, by focusing on the Lipkin and Agassi models, we investigate how to do this in the context of nuclear physics ground state problems. We further use our observations to discus the potential of new classical, but quantum-inspired, approaches to learning ground states in nuclear problems.