论文标题
迈向具有拓扑术语的非线性Sigma模型的量子模拟
Towards a Quantum Simulation of Nonlinear Sigma Models with a Topological Term
论文作者
论文摘要
我们确定了使用张量网络和数字量子算法增强的二维$ O（3）$非线性Sigma模型的质量差距。作为原理的证明，我们考虑了示例$θ=π$，并通过检查基态的纠缠熵来研究其在量子模拟器上的关键行为。我们确认，量子理论在强耦合方面与分析结果一致。但是，我们还强调了为弱耦合的理论仿真而言，为嘈杂的中间量子设备而设计的当前量子算法的局限性。最后，我们将量子算法的性能与经典张量网络方法进行比较。
We determine the mass gap of a two-dimensional $O(3)$ nonlinear sigma model augmented with a topological $θ$-term using tensor network and digital quantum algorithms. As proof of principle, we consider the example $θ= π$ and study its critical behaviour on a quantum simulator by examining the entanglement entropy of the ground state. We confirm that the quantum theory is massless in the strong-coupling regime, in agreement with analytical results. However, we also highlight the limitations of current quantum algorithms, designed for noisy intermediate-scale quantum devices, in the theory simulation at weak coupling. Finally, we compare the performance of our quantum algorithms to classical tensor network methods.
