Current Appointments & Affiliations
Assistant Professor of Mathematics
·
2023 - Present
Mathematics,
Trinity College of Arts & Sciences
Member of the Duke Quantum Center
·
2024 - Present
Duke Quantum Center,
Pratt School of Engineering
Recent Publications
Time-Dependent Hamiltonian Simulation via Magnus Expansion: Algorithm and Superconvergence
Journal Article Communications in Mathematical Physics · June 1, 2025 Hamiltonian simulation becomes more challenging as the underlying unitary becomes more oscillatory. In such cases, an algorithm with commutator scaling and a weak dependence, such as logarithmic, on the derivatives of the Hamiltonian is desired. We introdu ... Full text CiteMixing Time of Open Quantum Systems via Hypocoercivity.
Journal Article Physical review letters · April 2025 Understanding the mixing of open quantum systems is a fundamental problem in physics and quantum information science. Existing approaches for estimating the mixing time often rely on the spectral gap estimation of the Lindbladian generator, which can be ch ... Full text CiteUNIFORM OBSERVABLE ERROR BOUNDS OF TROTTER FORMULAE FOR THE SEMICLASSICAL SCHRÖDINGER EQUATION
Journal Article Multiscale Modeling and Simulation · January 1, 2025 Known as the no fast-forwarding theorem in quantum computing (see, e.g., Theorem 3 in [D. W. Berry et al., Comm. Math. Phys., 270 (2007), pp. 359-371], Theorem 5 in [A. M. Childs, Comm. Math. Phys., 294 (2010), pp. 581-603], and [R. Kothari, Efficient Simu ... Full text CiteRecent Grants
CAREER: Quantum Simulation with Unbounded Operators: Algorithms, Analysis and Applications
ResearchPrincipal Investigator · Awarded by National Science Foundation · 2025 - 2030Quantum utility through advanced computational quantum algorithms (QUACQ)
ResearchPrincipal Investigator · Awarded by California Institute of Technology · 2024 - 20292026 Gene Golub SIAM Summer School
ConferencePrincipal Investigator · Awarded by Society for Industrial and Applied Mathematics · 2025 - 2027View All Grants
Education, Training & Certifications
University of Wisconsin, Madison ·
2019
Ph.D.