Presidential Lectures are a series of free public colloquia spotlighting groundbreaking research across four themes: neuroscience and autism science, physics, biology, and mathematics and computer science. These curated, high-level scientific talks feature leading scientists and mathematicians and are designed to foster discussion and drive discovery within the New York City research community. We invite those interested in these topics to join us for this weekly lecture series.
Simulating quantum mechanics on classical computers appears at first to require exponential computational resources, yet at the same time rapid progress is being made in accurate simulations of the quantum properties of realistic materials. How is this discrepancy resolved? Professor Chan will explain why, for many purposes, the exponential complexity of quantum mechanics is an illusion, and how the simple structure of quantum states can be captured through different mathematical formalisms, including that of tensor networks. Chan will then briefly discuss how this translates into new tools of numerical simulation, and highlight applications to the first-principles study of biological systems, molecular crystals and high temperature superconductivity.