Dominic Verdon

• Email: dominicverdonresearch@gmail.com

About me

I am interested in the mathematics of quantum theory. I am often motivated by applications to quantum information theory, but I am also interested in providing a more general foundation for future developments in physics. I use mathematical ideas from category theory, representation theory of quantum groups, and operator algebra.

I did my DPhil in the department of Computer Science at the University of Oxford; my supervisor was Jamie Vicary. I then spent some time at the School of Mathematics at the University of Bristol, where I worked with Ashley Montanaro. Right now I am spending some time away from academia, but I am still thinking about mathematics. If you want to contact me, please get in touch at the email above.

Publications and preprints

• Supermaps between channels of any type (w. R. Allen) (arxiv)
• CP∞ and beyond: 2-categorical dilation theory (w. R. Allen) (arxiv) (journal) - Th. App. Cat. 41 (50) (2024)
• Covariant quantum combinatorics with applications to zero-error communication (arxiv) (doi) - Commun. Math. Phys. 405, 51 (2024)
• Testing quantum satisfiability (w. A. Montanaro and C. Shao) (arxiv)
• Entanglement-invertible channels (arxiv) (doi) - J. Math. Phys 65, 062203 (2024)
• A covariant Stinespring theorem (arxiv) (doi) - J. Math. Phys. 63, 091705 (2022)
• Entanglement-symmetries of covariant channels (arxiv) (slides) (doi) - Quantum 8, 1272 (2024)
• Unitary transformations of fibre functors (arxiv) (doi) - J. Pure. Appl. Alg. 226 (7) (2022)
• Unitary pseudonatural transformations (arxiv)
• 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)