2 citations · 3 across the 8 of their papers we have counts for
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Parameterized Quantum Circuit Semantics Through Enriched Categories
Neil J. Ross, Scott Wesley
It is well-known that combinatorial circuits are modeled mathematically by string diagrams in monoidal categories. Given a gate set , the circuits over can be thought of as…
Free Quantum Computing
Jacques Carette, Chris Heunen, Robin Kaarsgaard +2
Quantum computing improves substantially on known classical algorithms for various important problems, but the nature of the relationship between quantum and classical computing is…
Contributions to the Theory of Clifford-Cyclotomic Circuits
Linh Dinh, Neil J. Ross
Let be a positive integer divisible by 8. The Clifford-cyclotomic gate set consists of the Clifford gates, together with a -rotation of order . It is easy…
Cutoff Theorems for the Equivalence of Parameterized Quantum Circuits (Extended)
Neil J. Ross, Scott Wesley
Many promising quantum algorithms in economics, medical science, and material science rely on circuits that are parameterized by a large number of angles. To ensure that these algo…
A Sound and Complete Equational Theory for 3-Qubit Toffoli-Hadamard Circuits
Matthew Amy, Neil J. Ross, Scott Wesley
We give a sound and complete equational theory for 3-qubit quantum circuits over the Toffoli-Hadamard gate set { X, CX, CCX, H }. That is, we introduce a collection of true equatio…
Exact Synthesis of Multiqutrit Clifford-Cyclotomic Circuits
Andrew N. Glaudell, Neil J. Ross, John van de Wetering +1
It is known that the matrices that can be exactly represented by a multiqubit circuit over the Toffoli+Hadamard, Clifford+, or, more generally, Clifford-cyclotomic gate set are…