1 citations · 2 across the 4 of their papers we have counts for
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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…
On the Origin of Linearity and Unitarity in Quantum Theory
Matt Wilson, Nick Ormrod
We reconstruct the transformations of quantum theory using a physically motivated postulate. This postulate states that transformations should be locally applicable, and recovers t…
Higher-Order Quantum Objects are Strong Profunctors
Matt Wilson, James Hefford
We explore the sense in which the existing constructions for higher-order maps on quantum theory based on causality constraints and compositionality constraints respectively, coinc…
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…
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…
Quantum networks theory
Pablo Arrighi, Amélia Durbec, Matt Wilson
The formalism of quantum theory over discrete systems is extended in two significant ways. First, quantum evolutions are generalized to act over entire network configurations, so t…