I am a member of the Quantum Information group, supervising and co-supervising MSc and PhD students in Mathematics and sometimes Physics. I am also a Member of the Guelph-Waterloo Physics Institute, Associate Member at Institute for Quantum Computing, and Affiliate Member at Perimeter Institute, and regularly interact with colleagues at these nearby institutes. I actively involve my students in these collaborations. In addition, my research with collaborators in the U.S., Europe, and Asia, as well as my involvement with the African Institute for Mathematical Sciences (AIMS) as its International Academic Advisor, generates further student opportunities for teaching and research on a global scale.
I am member of the Quantum Information Group at the University of Guelph where research centers around the mathematics of quantum information: quantum error correction, entanglement theory, quantum cryptography, and the connections between theoretical and experimental quantum information science. Key research themes include:
- Quantum Error Correction. Protecting quantum information from undesirable noise has the potential to become a breakthrough in the field of quantum computing. Prof. Kribs explores problems like environmental noise with novel investigative methods that use mathematics-based tools and tricks from fancy math topics like matrix theory, operator algebras, and functional analysis.
- Operator Structures. A basic problem in quantum information theory is how to identify a state from a set of known states on a composite quantum system, using only quantum operations that are local to the individual sub-systems. Prof. Kribs is interested in operator structures, such as operator systems, operator algebras and Hilbert C*-modules.
- Methods in Quantum Information. Prof. Kribs examines a wide array of methods in quantum information including operator algebras, quantum computing, quantum error correction, quantum cryptography, quantum information processing, matrix theory, operator spaces, matrix analysis, and functional analysis.
Quantum Information Group
- CEPS News: A Quantum Leap
- Guelph Mercury Tribune: Guelph prof AIMS to help Africa add it all up