Record: No

Level: Graduate

Language: Chinese

Prerequisite

Quantum Mechanics

Abstract

This course will focus on the basic concepts and representative algorithms of tensor networks. For 1D tensor networks, we will introduce the Matrix Product State(MPS) and its Density Matrix Renormalization Group algorithm(DMRG), Time Evolution Block Decimation algorithm(TEBD), etc. For high-dimensional tensor networks, we will include the Projected Entangled Pair States (PEPS) and its various Tensor Renormalization Group algorithms, as well as the Corner Transfer Matrix Renormalization Group algorithm, variational algorithms, etc. We will also involve some machine learning algorithms and quantum simulation algorithms based on tensor networks if time permits.

Reference

1. Orus, R. Annals of Physics 349, 117–158 (2014).

2. Orus, R. The European Physical Journal B 87, (2014).

3. Schollwoeck, U. Annals of Physics 326, 96–192 (2011).

4. Verstraete, F., Cirac, J. I. & Murg, V. Advances in Physics 57, 143–224 (2008).

Lecturer Intro

程嵩，现任北京雁栖湖应用数学研究院助理研究员，曾任鹏城实验室量子计算中心助理研究员，博士毕业于中科院物理所理论物理专业。他的研究方向是张量网络算法，研究兴趣主要集中于开发张量网络在凝聚态物理，机器学习，量子计算等方向的新算法。

Lecturer Email: chengsong@bimsa.cn

TA: Dr. Juntao Wang, wjunt88@vt.edu