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Dominic Verdon

Personal photo - Dominic Verdon

Mr Dominic Verdon

Doctoral Student

E: dominic.verdon@cs.ox.ac.uk

Wolfson Building, Parks Road, Oxford OX1 3QD

Interests

My work is focused on categorical and algebraic structures and their applications in quantum information. Some key words are: topological quantum field theory, quantum information, categorical quantum mechanics, tensor categories, bicategories, etc. Some particular areas of research are indicated below.

  • I am investigating quantum protocols in the situation of reference frame alignment or charge conservation, from a categorical perspective. Applications include:
    1. Perfect reference frame independent quantum teleportation for finite RF transformation group actions using certain algebraic structures. A very early version of this work appeared in the proceedings of QPL 2016 as 'Tight reference frame independent quantum teleportation' (https://arxiv.org/abs/1603.08866). A much newer version with a complete classification of such protocols for a qubit will appear soon. This is joint work with Jamie Vicary.
    2. Increased purity of quantum teleportation for infinite RF transformation group actions, where perfect teleportation is impossible. This is also joint work with Jamie Vicary.
    3. Possible rate increase for device-dependent RFI QKD (work in progress).
  • In 'Coherence for braided and symmetric pseudomonoids' (http://arxiv.org/abs/1705.09354) I extend the coherence theorems for braided and symmetric monoidal categories to arbitrary braided and symmetric pseudomonoids using a higher diagrammatic rewriting approach. This work is a categorification of the theory of PROs, PROBs and PROPs for monoids and commutative monoids.
  • I am also working with quantum latin squares and quantum graph homomorphisms.

Activities

Supervisor