Kirmani Ammar, Bull Kieran, Hou Chang-Yu, Saravanan Vedika, Saeed Samah Mohamed, Papić Zlatko, Rahmani Armin, Ghaemi Pouyan
Department of Physics and Astronomy, Western Washington University, Bellingham, Washington 98225, USA.
Physics Department, City College of the City University of New York, New York, New York 10031, USA.
Phys Rev Lett. 2022 Jul 29;129(5):056801. doi: 10.1103/PhysRevLett.129.056801.
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.
中规模量子技术为科学发现提供了新机遇，但也带来了挑战，即尽管当前存在局限性，仍要确定能利用此类设备的合适问题。在固态材料中，分数量子霍尔相作为类似于引力子的涌现几何激发的宿主，继续吸引着人们的关注，这种激发源于电子之间的非微扰相互作用。然而，直接观测此类激发仍然是一项挑战。在此，我们确定了一个准一维模型，该模型捕捉了分数量子霍尔态的几何性质和引力子动力学。然后，我们使用具有定制误差缓解的最优编译特罗特电路，在IBM量子计算机上模拟几何猝灭及随后的引力子动力学。此外，我们开发了一种基于最优控制的高效变分量子算法，该算法能够在更大系统中有效模拟引力子动力学。我们的结果为在现有量子硬件上的一类新的可处理模型中研究引力子的出现开辟了一条新途径。
