Variational Monte Carlo with the Multi-Scale Entanglement Renormalization Ansatz

Understand

Monte Carlo sampling techniques have been proposed as a strategy to reduce the computational cost of contractions in tensor network approaches to solving many-body systems.

• Here we put forward a variational Monte Carlo approach for the multi-scale entanglement renormalization ansatz (MERA), which is a unitary tensor network.
• Two major adjustments are required compared to previous proposals with non-unitary tensor networks.
• First, instead of sampling over configurations of the original lattice, made of L sites, we sample over configurations of an effective lattice, which is made of just log(L) sites.