Quantum techniques for eigenvalue problems

Abstract

This article is a brief introduction to quantum algorithms for the eigenvalue problem in quantum many-body systems. Rather than a broad survey of topics, we focus on providing a conceptual understanding of several quantum algorithms that cover the essentials of adiabatic evolution, variational methods, phase detection algorithms, and several other approaches. For each method, we discuss the potential advantages and remaining challenges.

Comments: final publication version of invited article for EPJ A Topical Issue "Quantum computing in low-energy nuclear theory"