[理论室学术报告] Efficient simulation of tensor networks with loop optimization
Newton’s Chair Postdoctoral fellow, Perimeter Institute for Theoretical Physics
Main Research Directions:
1. Numerical simulation of quantum many-body systems
2. Topological states of matter
3. Interplay between condensed matter and quantum information
Tensor network approach is a powerful theoretical and computational tool for studying condensed matter systems. Simulating a two-dimensional quantum system using Projected Entangled-Pair States (PEPS) usually contains two major steps: (1) finding out the PEPS wave function using variational algorithms, and (2) evaluating the expectation values of physical observables using coarse-graining methods. In this talk, I will present a loop optimization scheme which can significantly improve the accuracy in both steps. The key idea is to deform a tensor network into small loops and then optimize tensors on each loop. Our scheme is computationally affordable even for a large bond degree of freedom. We benchmark our method on various models and compare to the results based on simple update.