MATH 5650 - Mathematical Foundations of Quantum Information Science and Technology

(3) Credit Hours

This course provides a comprehensive introduction to the mathematical foundations underpinning quantum information science. Topics include relevant concepts from linear algebra and complex variables, Hilbert spaces, tensor products, operator theory, density matrices, measurement of a quantum system, entanglement, and quantum algorithms. By the end of the course, students will be equipped with the mathematical tools necessary to engage in advanced studies and research in quantum information science. Fall semesters. Prerequisites: Background at the level of undergraduate linear algebra, ordinary differential equations, and multivariable calculus, or Department Head approval.

Effective Spring 2026.