In-person: Michigan Memorial Phoenix Project, 2301 Bonisteel Blvd, Ann Arbor, MI 48109, USA. Room PML2000
Zoom: https://umich.zoom.us/j/92778807694?jst=2

Abstract:
Quantum thermal-state and ground-state preparation are one of the fundamental algorithmic primitives with broad applications in quantum many-body physics, quantum chemistry, and materials science. In this talk, I will introduce dissipative quantum algorithms for preparing the thermal or ground state of a given physical or chemical Hamiltonian. I will begin with an overview of a popular approach that has gained significant traction in recent years, based on Lindblad dynamics. I will then present a more recent but implementation friendly framework for thermal and ground-state preparation rooted in system–bath interaction models. I will discuss a recently developed algorithm that comes with rigorous complexity guarantees, along with new results that extend our theoretical understanding of system–bath interaction beyond what was previously known.

Bio:
Zhiyan is an Assistant Professor in the Department of Mathematics at the University of Michigan, Ann Arbor. Before joining Michigan, Zhiyan was a Morrey Visiting Assistant Professor in the Department of Mathematics at the University of California, Berkeley, hosted by Prof. Lin Lin. Zhiyan received his Ph.D. degree in Mathematics from the University of Wisconsin–Madison under the direction of Qin Li.

Zhiyan works in applied and computational mathematics, with a particular focus on numerical analysis in areas such as quantum computing, machine learning, and data science. A central theme of his research is developing a deep mathematical understanding of existing algorithms and designing new, principled ones. His interests span a broad range of topics in quantum computing and machine learning, such as quantum eigenvalue estimation, signal processing, quantum and classical optimization and sampling, and mean-field analysis.