论文标题
可整合自旋链的量子模拟中的保守电荷
Conserved charges in the quantum simulation of integrable spin chains
论文作者
论文摘要
当模拟数字量子计算机上量子多体系统的时间演变时，人们会面临量子噪声的挑战和由于时间离散化而导致的猪肉误差的挑战。如果离散的时间演变保留了集成性，则可以控制可集成旋转链中的猪根误差。在这项工作中，我们在真实的量子计算机和经典模拟器上实现了Spin-1/2 Heisenberg XXX旋转链的可集成的Trotterization。我们研究量子噪声如何影响几种保守电荷的时间演变，并观察到期望值的衰减。另外，我们还研究了时间演变的早期行为，这些行为可能会在将来基准用于基准量子设备和算法。我们还提供了一种有效的方法来生成较高订单的保守费用。
When simulating the time evolution of quantum many-body systems on a digital quantum computer, one faces the challenges of quantum noise and of the Trotter error due to time discretization. The Trotter error in integrable spin chains can be under control if the discrete time evolution preserves integrability. In this work we implement, on a real quantum computer and on classical simulators, the integrable Trotterization of the spin-1/2 Heisenberg XXX spin chain. We study how quantum noise affects the time evolution of several conserved charges, and observe the decay of the expectation values. We in addition study the early time behaviors of the time evolution, which can potentially be used to benchmark quantum devices and algorithms in the future. We also provide an efficient method to generate the conserved charges at higher orders.
