In this seminar, we are interested in all aspects of research at the intersection between quantum information science and mathematics.  Goals for talks include:

  • Studying recent research results in quantum information from a mathematical angle;
  • Finding examples (old and new) in which existing tools from mathematics can be adapted for application in quantum information;
  • Studying quantum algorithms for mathematical problems.

An introduction to the concept of a quantum computer, including algorithms that outperform classical computation and methods for performing quantum computation reliably in the presence of noise. As this is a multidisciplinary subject, the course will cover basic concepts in theoretical computer science and physics in addition to introducing core quantum computing topics.

The course will cover topics in classical and quantum coding theory from the unified perspective of protecting information in classical communication and supporting fault-tolerant computations in quantum computers. Topics in classical codes include: Reed-Solomon codes, codes on algebraic curves, Reed-Muller codes, polar codes, rank metric codes. Topics in quantum codes include: stabilizer codes, CSS codes, GKP codes, polynomial codes, toric code. 

The aim of the course is to develop the theory of how to protect quantum computers from noise through active control, measurement, and feedback of quantum systems. Topics will include quantum coding theory, stabilizer codes, continuous variable codes, fault-tolerance, resource theories, magic states, threshold theorems, topological codes, decoding algorithms, noisy quantum circuits, and related aspects of quantum many-body physics.

Designed for computer science, engineering and mathematics majors. Introduces basic concepts and techniques widely used in quantum information science.

An introduction to the field of quantum information processing. Students will be prepared to pursue further study in quantum computing, quantum information theory, and related areas.

Investigates the physical systems used to implement quantum computers. Covers basics of atomic clocks, laser interferometers, quantum key distribution, quantum networks, and three types of qubits (ion-based, superconductor-based, and semiconductor-based).