We study a proof-of-principle example of the recently proposed hybrid quantum-classical simulation of strongly correlated fermion models in the thermodynamic limit. In a ‘two-site’ dynamical mean-field theory (DMFT) approach we reduce the Hubbard model to an effective impurity model subject to self-consistency conditions. The resulting minimal two-site representation of the non-linear hybrid setup involves four qubits implementing the impurity problem, plus an ancilla qubit on which all measurements are performed. We outline a possible implementation with superconducting circuits feasible with near-future technology.

中文翻译：

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强相关晶格费米子的几量子位量子经典模拟

我们研究了最近提出的在热力学极限内强相关的费米子模型的混合量子经典模拟的原理证明示例。在“两点”动态平均场理论（DMFT）方法中，我们将Hubbard模型简化为受自洽条件约束的有效杂质模型。非线性混合设置的最终最小两点表示形式涉及实现杂质问题的四个量子位，以及执行所有测量的辅助量子位。我们概述了利用超未来技术可行的超导电路的可能实现。