Probing Geometric Excitations of Fractional Quantum Hall States on Quantum Computers
Probing Geometric Excitations of Fractional Quantum Hall States on Quantum Computers
复制标题
探测量子计算机上分数量子霍尔态的几何激发
DOI：
10.1103/physrevlett.129.056801
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发表时间：
2022
影响因子：
8.6
通讯作者：
Ghaemi, Pouyan
中科院分区：
文献类型：
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作者：
Kirmani, Ammar;Bull, Kieran;Hou, Chang-Yu;Saravanan, Vedika;Saeed, Samah Mohamed;Papić, Zlatko;Rahmani, Armin;Ghaemi, Pouyan
中等规模的量子技术为科学发现提供了新的机会，但它们也带来了挑战，即尽管这些设备目前存在局限性，但它们也带来了识别可以利用这些设备的合适问题的挑战。在固态材料中，由于电子之间的非微扰相互作用，分数量子霍尔相作为类似于引力子的紧急几何激发的宿主，继续吸引着人们的注意。然而，对这种刺激的直接观察仍然是一个挑战。在这里，我们确定了一个准一维模型，该模型捕获了分数量子霍尔态的几何性质和引力子动力学。然后，我们在IBM量子计算机上使用优化编译的Trotter电路模拟几何失超和随后的引力子动力学，并定制了误差抑制。此外，我们开发了一个高效的、基于最优控制的变分量子算法，它可以有效地模拟更大系统中的引力子动力学。我们的结果为在现有量子硬件上研究一类新的易处理模型中引力子的出现开辟了一条新的途径。
Intermediate-scale quantum technologies provide new opportunities for scientific discovery, yet they also pose the challenge of identifying suitable problems that can take advantage of such devices in spite of their present-day limitations. In solid-state materials, fractional quantum Hall phases continue to attract attention as hosts of emergent geometrical excitations analogous to gravitons, resulting from the nonperturbative interactions between the electrons. However, the direct observation of such excitations remains a challenge. Here, we identify a quasi-one-dimensional model that captures the geometric properties and graviton dynamics of fractional quantum Hall states. We then simulate geometric quench and the subsequent graviton dynamics on the IBM quantum computer using an optimally compiled Trotter circuit with bespoke error mitigation. Moreover, we develop an efficient, optimal-control-based variational quantum algorithm that can efficiently simulate graviton dynamics in larger systems. Our results open a new avenue for studying the emergence of gravitons in a new class of tractable models on the existing quantum hardware.