论文标题

使用Quantum计算机的海森堡旋转链的单木弹性态

Single magnon excited states of a Heisenberg spin-chain using a quantum computer

论文作者

Ranu, Shashank Kumar, Stancil, Daniel D.

论文摘要

旋转链的激发态在凝结物理学中起重要作用。我们提出了一种计算海森堡旋转链的单木兴激发态的方法,该方法可以在量子处理器上有效实现,以用于小型自旋链。我们的方法涉及找到能量与波数曲​​线的固定点。我们使用数值技术以及使用IBM量子处理器来实施四个站点和8个位置海森堡汉密尔顿人的方法。最后,我们深入了解我们提出的方法的电路复杂性和缩放。

Excited states of spin-chains play an important role in condensed matter physics. We present a method of calculating the single magnon excited states of the Heisenberg spin-chain that can be efficiently implemented on a quantum processor for small spin chains. Our method involves finding the stationary points of the energy vs wavenumber curve. We implement our method for 4-site and 8-site Heisenberg Hamiltonians using numerical techniques as well as using an IBM quantum processor. Finally, we give an insight into the circuit complexity and scaling of our proposed method.

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