Relativistic fermionic field theories constitute the fundamental description of all observable matter. The simplest of the models provide a useful, classically verifiable benchmark for noisy intermediate scale quantum computers. We calculate the energy levels of a model of Dirac fermions with four-fermion interactions, on a lattice in 1 + 1 space-time dimensions. We employ a hybrid classical-quantum computation scheme to obtain the mass gap in this model for three spatial sites. With error mitigation the results are in good agreement with exact classical calculations. Our calculations extend to the vicinity of the massless limit where chiral symmetry emerges, however relative errors for quantum computations in this regime are significant. We compare our results with an analytical calculation using perturbation theory.

中文翻译：

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相互作用的费米电子模型的量子计算

相对论性的铁电场理论构成了所有可观测物质的基本描述。这些模型中最简单的模型为嘈杂的中型量子计算机提供了有用的经典可验证基准。我们在1 + 1时空维度的晶格上计算具有四费米相互作用的狄拉克费米模型的能级。我们采用混合经典量子计算方案来获得该模型中三个空间位点的质量缺口。通过减少错误，结果与精确的经典计算非常吻合。我们的计算扩展到手性对称出现的无质量极限附近，但是在这种情况下量子计算的相对误差是很大的。我们将结果与使用扰动理论的分析计算进行比较。