论文标题
使用量子Lanczos算法在ISING模型中散射
Scattering in the Ising Model Using Quantum Lanczos Algorithm
论文作者
论文摘要
现象学模型中的时间演化和散射模拟对于测试和验证近期量子计算机模拟量子场理论的潜力引起了极大的兴趣。在这里，我们为3和4个空间位点的一维横向ISING模型中模拟了单粒子的传播和两粒子散射，该模型具有量子计算机上的周期性边界条件。我们使用量子Lanczos算法来获得系统的所有能级和相应的特征状态。我们通过利用系统的对称性来简化量子计算。这些结果使我们能够计算一个和两粒子的过渡幅度，空间位点的颗粒数以及横向磁化为时间的函数。量子电路是在IBM 5 Quibit的超导硬件上执行的。读出误差的实验结果与使用精确对角线化获得的值非常吻合。
Time evolution and scattering simulation in phenomenological models are of great interest for testing and validating the potential for near-term quantum computers to simulate quantum field theories. Here, we simulate one-particle propagation and two-particle scattering in the one-dimensional transverse Ising model for 3 and 4 spatial sites with periodic boundary conditions on a quantum computer. We use the quantum Lanczos algorithm to obtain all energy levels and corresponding eigenstates of the system. We simplify the quantum computation by taking advantage of the symmetries of the system. These results enable us to compute one- and two-particle transition amplitudes, particle numbers for spatial sites, and the transverse magnetization as functions of time. The quantum circuits were executed on IBM 5-qubit superconducting hardware. The experimental results with readout error mitigation are in very good agreement with the values obtained using exact diagonalization.
