Dominic Verdon
About me
I am a mathematician interested in the intersection of higher category theory and operator algebra; the motivation for this is to develop and understand quantum theory, which is the basis of modern physics. Historically, my work has focused on quantum information theory - looking at quantum theory through the lens of applications to communication, computation, cryptography, etc. - but I'm very interested in quantum field theory and quantum foundations as well. My work intersects a lot with operator algebraic quantum group theory, since you can think of an operator algebraic quantum group as a categorification of a von Neumann algebra (this is known as Tannaka-Krein-Woronowicz duality). I've also done more 'traditional' work on quantum information and computation and know that field pretty well.
I am currently affiliated to the Department of Computer Science and Technology, University of Cambridge. To contact me, please get in touch at the email above.
Some recent highlights
Publications and preprints
- Supermaps between channels of any type (w. R. Allen) (arxiv)
- Testing quantum satisfiability (w. A. Montanaro and C. Shao) (arxiv) (QIP2024) (doi) - Commun. Math. Phys. 406, 241 (2025)
- Unitary pseudonatural transformations (arxiv) - Higher Structures 9(1): 1-35 (2025)
- CP∞ and beyond: 2-categorical dilation theory (w. R. Allen) (arxiv) (journal) - Th. App. Cat. 41 (50) (2024) (QPL2024)
- Covariant quantum combinatorics with applications to zero-error communication (arxiv) (doi)
- Commun. Math. Phys. 405, 51 (2024)
- Entanglement-symmetries of covariant channels (arxiv) (slides) (doi) - Quantum 8, 1272 (2024)
- Entanglement-invertible channels (arxiv) (doi) - J. Math. Phys 65, 062203 (2024) (QPL2022)
- A covariant Stinespring theorem (arxiv) (doi) - J. Math. Phys. 63, 091705 (2022)
- Unitary transformations of fibre functors (arxiv) (doi) - J. Pure. Appl. Alg. 226 (7) (2022)
- The Morita theory of quantum graph isomorphisms (w. B. Musto and D. Reutter) (arxiv) (doi)
- Commun. Math. Phys. 365, 797–845 (2019)
- Quantum teleportation with infinite reference frame uncertainty and without prior alignment (w. Jamie Vicary) (arxiv) (doi)
- Phys. Rev. A 100, 062306 (2019)
- A compositional approach to quantum functions (w. B.Musto and D. Reutter) (arxiv) (doi)
- J. Math. Phys. 59, 081706 (2018)
- Perfect tight quantum teleportation without a shared reference frame (w. Jamie Vicary) (arxiv) (doi)
- Phys. Rev. A 98, 012306 (2018)
- Coherence for braided and symmetric pseudomonoids (arxiv)