Workshop III: Many-body Quantum Systems via Classical and Quantum Computation

The ability to create and manipulate complex quantum states offers the potential for dramatic increases in computational power, measurement sensitivity, and information security. Understanding the dynamics of such entangled many-body states raises a number of mathematical and physical questions, as such states often lie beyond standard approximate descriptions used in different areas of physics. This workshop is devoted to the related problems of how quantum and classical computers can be used to attack important problems in many-body quantum mechanics across application domains. While the faithful representation of full many-particle Hilbert spaces on a classical computer is exponentially costly, efficient approximate representations for specific purposes have been discovered, such as tensor networks. Studying the dynamics of quantum computers in the current NISQ area leads naturally to questions of robustness and control.

Topics: Part of the Long Program Mathematical and Computational Challenges in Quantum Computing