论文标题
确定NISQ量子硬件上拓扑Kitaev启发模型的量子相图
Determining quantum phase diagrams of topological Kitaev-inspired models on NISQ quantum hardware
论文作者
论文摘要
拓扑保护用于易于断层的误差校正和使用拓扑量表开发量子算法。但是，即使是在NISQ硬件上，也可以强大的计算来固有拓扑保护。我们通过在IBM量子计算机上模拟Kitaev启发的模型并准确确定其相图来利用它。这需要为Majorana编织构建常规量子电路，以准备基塔夫风格的模型的基态。然后测量纠缠熵以计算量子相边界。我们展示了通过布里渊区采样时保持颗粒 - 孔对称性如何对于获得高精度至关重要。这项工作说明了如何在测量适当的受保护的量子性能时，如何使用量子模型的拓扑保护对NISQ硬件进行稳健的计算。它为当今可用的量子硬件上的拓扑量子模型进行进一步模拟打开了大门。
Topological protection is employed in fault-tolerant error correction and in developing quantum algorithms with topological qubits. But, topological protection intrinsic to models being simulated, also robustly protects calculations, even on NISQ hardware. We leverage it by simulating Kitaev-inspired models on IBM quantum computers and accurately determining their phase diagrams. This requires constructing conventional quantum circuits for Majorana braiding to prepare the ground states of Kitaev-inspired models. The entanglement entropy is then measured to calculate the quantum phase boundaries. We show how maintaining particle-hole symmetry when sampling through the Brillouin zone is critical to obtaining high accuracy. This work illustrates how topological protection intrinsic to a quantum model can be employed to perform robust calculations on NISQ hardware, when one measures the appropriate protected quantum properties. It opens the door for further simulation of topological quantum models on quantum hardware available today.
