Lunch Seminar |
|
Title题目 |
Computation with Tensor Networks |
|
Speaker 报告人 |
Pan Zhang |
|
Affiliation 所在单位 |
ITP/CAS |
|
Date 日期 |
2021年4月20日 12:00 |
|
Venue 地点 |
6620 |
|
Contact Person 所内联系人 |
石弢 于江浩 |
|
Abstract 摘要 |
In the lunch seminar, Pan Zhang will present methods and algorithms for solving statistical mechanics problems, combinatorial optimization problems, and quantum circuit simulations, in an integrated framework based on tensor networks.In statistical mechanics problems, the partition function (i.e. the normalization factor of the Boltzmann distribution) at a finite temperature can be obtained by contracting a tensor network that is converted from the statistical mechanics problem. When equipped with the “Tropical” algebra, the tensor network contraction can be used to obtain ground state energy and entropy of the model directly at zero temperature. When the interactions in the statistical mechanics model are complex, computing the partition function acts as estimating the amplitude of an end state of a quantum circuit, thus tensor network contractions can be used to simulate quantum computers. Pan Zhang will introduce approximate and exact algorithms for contracting tensor networks, and their wide applications, particularly in simulating Google’s Sycamore quantum circuits. |