18 citations · 71 across the 11 of their papers we have counts for
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cs.LO2017★ 18 cited
Classical Control, Quantum Circuits and Linear Logic in Enriched Category Theory
Mathys Rennela, Sam Staton
We describe categorical models of a circuit-based (quantum) functional programming language. We show that enriched categories play a crucial role. Following earlier work on QWire b…
math.OA2017★ 8 cited
Infinite-Dimensionality in Quantum Foundations: W*-algebras as Presheaves over Matrix Algebras
Mathys Rennela, Sam Staton, Robert Furber
In this paper, W*-algebras are presented as canonical colimits of diagrams of matrix algebras and completely positive maps. In other words, matrix algebras are dense in W*-algebras…