论文标题
使用最佳控制
String order melting of spin-1 particle chains in superconducting transmons using optimal control
论文作者
论文摘要
利用最佳控制来模拟模型哈密顿量是一种新兴策略，它利用数字量子仿真方法利用设备的内在物理。在这里，我们评估了最佳控制，以探测用超导硬件模拟对称性保护拓扑（SPT）状态的非平衡性能。假设具有可调的Transmon架构，我们将这些SPT状态的演变作为一系列的一系列单位脉冲优化问题，这些问题在存在泄漏约束的情况下被解决。从生成的脉冲中，我们在六个站点模型上模拟了扰动的SPT字符串顺序的时间相关的熔化，平均状态不忠实为$ 10^{ - 3} $。这些脉冲的可行性及其有效的应用表明，弦序熔化的高保真模拟已接近当前量子计算系统。
Utilizing optimal control to simulate a model Hamiltonian is an emerging strategy that leverages the intrinsic physics of a device with digital quantum simulation methods. Here we evaluate optimal control for probing the non-equilibrium properties of symmetry-protected topological (SPT) states simulated with superconducting hardware. Assuming a tunable transmon architecture, we cast evolution of these SPT states as a series of one- and two-site pulse optimization problems that are solved in the presence of leakage constraints. From the generated pulses, we numerical simulate time-dependent melting of the perturbed SPT string order across a six-site model with an average state infidelity of $10^{-3}$. The feasibility of these pulses as well as their efficient application indicate that high-fidelity simulations of string-order melting are within reach of current quantum computing systems.
