The 239th R-CCS Cafe - part 1

Recently, the "possible" advantages of the quantum computer compared to its classical counterpart have attracted lots of research interest in quantum computing. A quantum computing process can be considered as a controllable evolution of a synthetic quantum many-body system, and quantum supremacy is equivalent to saying that the corresponding quantum many-body problem is exponentially hard for the classical computer. However, it isn't the whole story! We still have advantages from the classical side. In this talk, I will discuss (i) the essential features of quantum many-body problems, (ii) the suitable classical simulation tools, i.e., tensor network methods, developed based on these features, and (iii) achievements, challenges, and opportunities of combining modern supercomputers and tensor network methods on solving quantum many-body problems.