标题： 解析优化MERA网络及其与量子可积性和小波的相关性 显示英文标题

标题： Analytic Optimization of a MERA network and its Relevance to Quantum Integrability and Wavelet

摘要： 我展示了一个如何解析优化有限反铁磁海森堡链的多尺度纠缠重正化假设的例子。 为此，我们考虑了量子电路表示，并构建了精确纠缠的基态，使得一个平凡的红外态可以通过在每个尺度上操作分离的纠缠层（单圈算符）依次被修改。 电路表示使我们能够简单地理解纠缠重正化与量子可积性之间的密切关系。 我们发现纠缠器应与$R$-矩阵匹配，而不是简单的幺正算符，并且还发现优化导致了 Bethe 根与 Daubechies 小波系数之间的映射。 显示英文摘要

摘要： I present an example of how to analytically optimize a multiscale entanglement renormalization ansatz for a finite antiferromagnetic Heisenberg chain. For this purpose, a quantum-circuit representation is taken into account, and we construct the exactly entangled ground state so that a trivial IR state is modified sequentially by operating separated entangler layers (monodromy operators) at each scale. The circuit representation allows us to make a simple understanding of close relationship between the entanglement renormalization and quantum integrability. We find that the entangler should match with the $R$-matrix, not a simple unitary, and also find that the optimization leads to the mapping between the Bethe roots and the Daubechies wavelet coefficients.