75 citations · 544 across the 41 of their papers we have counts for
Showing 2012Show all
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quant-ph2012★ 37 cited
The Topology of Quantum Algorithms
Jamie Vicary
We use a categorical topological semantics to examine the Deutsch-Jozsa, hidden subgroup and single-shot Grover algorithms. This reveals important structures hidden by conventional…
math.QA2012★ 19 cited
Higher Quantum Theory
Jamie Vicary
We propose a 2-categorical formalism for describing classical information, quantum systems, and their interactions, based on the principle that classical information can be encoded…
math.QA2012★ 8 cited
The Categorified Heisenberg Algebra I: A Combinatorial Representation
Jeffrey C. Morton, Jamie Vicary
We give an introductory account of Khovanov's categorification of the Heisenberg algebra, and construct a combinatorial model for it in a 2-category of spans of groupoids. We also…