论文标题
Sachdev-ye-Kitaev Thermofield Double的变分制备
Variational Preparation of the Sachdev-Ye-Kitaev Thermofield Double
论文作者
论文摘要
我们提供了一种算法，用于准备Sachdev-Ye-Kitaev模型的热菲尔德双（TFD）状态，而无需辅助浴室。在先前的工作之后，TFD可以作为哈密顿量的近似基态，$ h _ {\ text {tfd}} $。使用变分量子电路，我们提出并实施了一种基于梯度的算法，用于学习该参数，以找到这种基态，这是变异量子eigensolver的应用。具体而言，我们找到了准备$ h _ {\ text {tfd}} $的量子电路，用于$ q = 4 $ syk型号，最高$ n = 12 $。
We provide an algorithm for preparing the thermofield double (TFD) state of the Sachdev-Ye-Kitaev model without the need for an auxiliary bath. Following previous work, the TFD can be cast as the approximate ground state of a Hamiltonian, $H_{\text{TFD}}$. Using variational quantum circuits, we propose and implement a gradient-based algorithm for learning parameters that find this ground state, an application of the variational quantum eigensolver. Concretely, we find quantum circuits that prepare the ground state of $H_{\text{TFD}}$ for the $q=4$ SYK model up to $N=12$.
