19 citations · 25 across the 5 of their papers we have counts for
5 papers
Supermaps on generalised theories
Matt Wilson, James Hefford, Timothée Hoffreumon
Categorical supermaps generalise higher-order quantum operations from finite-dimensional quantum theory to arbitrary circuit theories. In this paper, we establish the Yoneda lemma…
Causality in Higher Order Process Theories
Matt Wilson, Giulio Chiribella
Quantum supermaps provide a framework in which higher order quantum processes can act on lower order quantum processes. In doing so, they enable the definition and analysis of new…
The Safari of Update Structures: Visiting the Lens and Quantum Enclosures
Matthew Wilson, James Hefford, Guillaume Boisseau +1
We build upon our recently introduced concept of an update structure to show that it is a generalisation of very-well-behaved lenses, that is, there is a bijection between a strict…
Categories of Semantic Concepts
James Hefford, Vincent Wang, Matthew Wilson
Modelling concept representation is a foundational problem in the study of cognition and linguistics. This work builds on the confluence of conceptual tools from Gärdenfors semanti…
Optimal local unitary encoding circuits for the surface code
Oscar Higgott, Matthew Wilson, James Hefford +4
The surface code is a leading candidate quantum error correcting code, owing to its high threshold, and compatibility with existing experimental architectures. Bravyi et al. (2006)…