论文标题
张量网络的有效绝热制备
Efficient Adiabatic Preparation of Tensor Network States
论文作者
论文摘要
我们提出并研究了一条特定的绝热途径，以准备那些在有限晶格中是少数体父母汉密尔顿人的独特基态状态，其中包括正常的张量网络状态以及其他相关的非正常状态。此路径保证了有限系统的差距，并允许有效的数值模拟。在一个维度上，我们从数值上研究了相关长度不同的状态家族和一维Affleck-kennedy-lieb-tasaki（AKLT）状态的制备，并表明绝热制剂可以比基于顺序准备的标准方法快得多。我们还将该方法应用于六边形晶格上的二维AKLT状态，为此，不知道基于顺序制备的方法，并表明它可以非常有效地用于相对较大的晶格。
We propose and study a specific adiabatic path to prepare those tensor network states that are unique ground states of few-body parent Hamiltonians in finite lattices, which include normal tensor network states, as well as other relevant nonnormal states. This path guarantees a gap for finite systems and allows for efficient numerical simulation. In one dimension, we numerically investigate the preparation of a family of states with varying correlation lengths and the one-dimensional Affleck-Kennedy-Lieb-Tasaki (AKLT) state and show that adiabatic preparation can be much faster than standard methods based on sequential preparation. We also apply the method to the two-dimensional AKLT state on the hexagonal lattice, for which no method based on sequential preparation is known, and show that it can be prepared very efficiently for relatively large lattices.
