论文标题
量子自动机电路中测量引起的相变
Measurement-induced phase transitions in quantum automaton circuits
论文作者
论文摘要
我们研究经过投影测量的通用量子自动机电路中的纠缠动态。我们设计了一种有效的算法，该算法不仅使我们能够为Rényi熵执行大规模的模拟，而且还为纠缠动力学提供了物理图片，可以用属于有导的渗透性普遍性类别的经典位弦模型来解释。我们研究由EPR对形成的状态的纯化动力学以及从产品状态开始的纠缠增长。在这两种情况下，我们都在数值上验证了动力学是在经典定向渗透的通用类别中。
We study the entanglement dynamics in a generic quantum automaton circuit subjected to projective measurements. We design an efficient algorithm which not only allows us to perform large scale simulation for the Rényi entropy but also provides a physical picture for the entanglement dynamics, which can be interpreted in terms of a classical bit-string model which belongs to the directed percolation universality class. We study the purification dynamics of a state formed by EPR pairs, and the growth of entanglement starting from a product state. In both cases, we verify numerically that the dynamics is in the universality class of classical directed percolation.
