52 citations · 72 across the 12 of their papers we have counts for
4 papers · 2 filters
Polycategorical Constructions for Unitary Supermaps of Arbitrary Dimension
Matt Wilson, Giulio Chiribella
We provide a construction for holes into which morphisms of abstract symmetric monoidal categories can be inserted, termed the polyslot construction pslot[C], and identify a sub-cl…
Quantum Supermaps are Characterized by Locality
Matt Wilson, Giulio Chiribella, Aleks Kissinger
We provide a new characterisation of quantum supermaps in terms of an axiom that refers only to sequential and parallel composition. Consequently, we generalize quantum supermaps t…
A Mathematical Framework for Transformations of Physical Processes
Matt Wilson, Giulio Chiribella
We observe that the existence of sequential and parallel composition supermaps in higher order theories of transformations can be formalised using enriched category theory. Encoura…
Generalised tensors and traces
Pablo Arrighi, Amélia Durbec, Matt Wilson
Tensors and traceouts are generalised, so that systems can be partitioned according to almost arbitrary logical predicates. One might have feared that the familiar interrelations b…