  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.
