论文标题
Hubbard模型的最佳费米式交换网络
Optimal fermionic swap networks for Hubbard models
论文作者
论文摘要
我们提出了用于有效模拟使用Jordan-Wigner Transform编码的n维费米 - 哈伯德模型汉密尔顿汉密尔顿汉密尔顿汉尔顿的n维式互换网络方案的有效变化。对于二维版本，我们表明我们的选择最大程度地减少了掉期深度和哈密顿相互作用层的数量。这些证明以及掉期网络的选择依赖于组合文献产生的等量性不平等，并且与图带宽问题密切相关。该机械有可能扩展，以最大程度地提高其他类型的晶格的交换网络效率。
We propose an efficient variation of the fermionic swap network scheme used to efficiently simulate n-dimensional Fermi-Hubbard-model Hamiltonians encoded using the Jordan-Wigner transform. For the two-dimensional versions, we show that our choices minimize swap depth and number of Hamiltonian interaction layers. The proofs, along with the choice of swap network, rely on isoperimetric inequality results from the combinatorics literature, and are closely related to graph bandwidth problems. The machinery has the potential to be extended to maximize swap network efficiency for other types of lattices.
