论文标题
创建和操纵Laughlin-type $ν= 1/3 $分数量子厅在带有线性深度电路的量子计算机上
Creating and manipulating a Laughlin-type $ν=1/3$ fractional quantum Hall state on a quantum computer with linear depth circuits
论文作者
论文摘要
在这里，我们提出了一种有效的量子算法，以在数字化的量子计算机上产生与Laughlin的$ν= 1/3 $分数量子厅状态相同的多体状态。我们的算法仅使用量子门，该量子门在准二维设置中作用于相邻码头，其电路深度在Qubits数量中是线性的，即第二个量化图片中的Landau Orbitals的数量。我们确定相关函数，这些功能是Laughlin State的签名，并讨论如何在量子计算机上获取它们。我们还讨论了在劳林州创建准粒子的算法的概括。这为几项重要研究铺平了道路，包括对量子厅状态下非平衡动力学的量子模拟和准粒子的编织。
Here we present an efficient quantum algorithm to generate an equivalent many-body state to Laughlin's $ν=1/3$ fractional quantum Hall state on a digitized quantum computer. Our algorithm only uses quantum gates acting on neighboring qubits in a quasi-one-dimensional setting, and its circuit depth is linear in the number of qubits, i.e., the number of Landau orbitals in the second quantized picture. We identify correlation functions that serve as signatures of the Laughlin state and discuss how to obtain them on a quantum computer. We also discuss a generalization of the algorithm for creating quasiparticles in the Laughlin state. This paves the way for several important studies, including quantum simulation of nonequilibrium dynamics and braiding of quasiparticles in quantum Hall states.
