2016/08/07 by Hiroaki Matsueda, Matsueda, Hiroaki
Computer Science · Mathematics · Physics and Astronomy · #Quantum Information and Cryptography #Quantum and electron transport phenomena #Quantum many-body systems #cond-mat.stat-mech #math-ph #math.MP #quant-ph
paper · pdf · doi:10.48550/arxiv.1608.02205
18 pages, 3 figures
arxiv created 2016/08/07 · arxiv updated 2016/08/09
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.