20 citations · 45 across the 8 of their papers we have counts for
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quant-ph2014★ 9 cited
Abstract structure of unitary oracles for quantum algorithms
William Zeng, Jamie Vicary
We show that a pair of complementary dagger-Frobenius algebras, equipped with a self-conjugate comonoid homomorphism onto one of the algebras, produce a nontrivial unitary morphism…
quant-ph2014★ 20 cited
Mixed quantum states in higher categories
Chris Heunen, Jamie Vicary, Linde Wester
There are two ways to describe the interaction between classical and quantum information categorically: one based on completely positive maps between Frobenius algebras, the other…