80 citations · 88 across the 4 of their papers we have counts for
5 papers · 1 filter
Coalgebras, Chu Spaces, and Representations of Physical Systems
Samson Abramsky
We revisit our earlier work on the representation of quantum systems as Chu spaces, and investigate the use of coalgebra as an alternative framework. On the one hand, coalgebras al…
Abstract Physical Traces
Samson Abramsky, Bob Coecke
We revise our "Physical Traces" paper in the light of the results in "A Categorical Semantics of Quantum Protocols". The key fact is that the notion of a strongly compact closed ca…
Abstract Scalars, Loops, and Free Traced and Strongly Compact Closed Categories
Samson Abramsky
We study structures which have arisen in recent work by the present author and Bob Coecke on a categorical axiomatics for Quantum Mechanics; in particular, the notion of strongly c…
Temperley-Lieb Algebra: From Knot Theory to Logic and Computation via Quantum Mechanics
Samson Abramsky
Our aim in this paper is to trace some of the surprising and beautiful connections which are beginning to emerge between a number of apparently disparate topics: Knot Theory, Categ…
Categorical quantum mechanics
Samson Abramsky, Bob Coecke
This invited chapter in the Handbook of Quantum Logic and Quantum Structures consists of two parts: 1. A substantially updated version of quant-ph/0402130 by the same authors, whic…