activity
20182022
most citedFusion 2-categories and a state-sum invariant for 4-manifolds

105 citations · 106 across the 2 of their papers we have counts for

collaborators
Showing 2018Show all

2 papers · 1 filter

math.QA2018★ 105 cited

Fusion 2-categories and a state-sum invariant for 4-manifolds

Christopher L. Douglas, David J. Reutter

We introduce semisimple 2-categories, fusion 2-categories, and spherical fusion 2-categories. For each spherical fusion 2-category, we construct a state-sum invariant of oriented s…

quant-ph2018

Shaded tangles for the design and verification of quantum circuits

David J. Reutter, Jamie Vicary

We give a scheme for interpreting shaded tangles as quantum circuits, with the property that if two shaded tangles are ambient isotopic, their corresponding computational effects a…