75 citations · 544 across the 41 of their papers we have counts for
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quant-ph2008★ 58 cited
A new description of orthogonal bases
Bob Coecke, Dusko Pavlovic, Jamie Vicary
We show that an orthogonal basis for a finite-dimensional Hilbert space can be equivalently characterised as a commutative dagger-Frobenius monoid in the category FdHilb, which has…
math.CT2008★ 33 cited
Completeness of dagger-categories and the complex numbers
Jamie Vicary
The complex numbers are an important part of quantum theory, but are difficult to motivate from a theoretical perspective. We describe a simple formal framework for theories of phy…
quant-ph2008★ 75 cited
Categorical formulation of quantum algebras
Jamie Vicary
We describe how dagger-Frobenius monoids give the correct categorical description of certain kinds of finite-dimensional 'quantum algebras'. We develop the concept of an involution…