3 papers
quant-ph2025
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…
math.AC2025
When are Morse resolutions polyhedral?
Louis Bu, Sara Faridi, Iresha Madduwe Hewalage +5
It is known that the chain complex of a simplex on vertices can be used to construct a free resolution of any ideal generated by monomials, and as a direct result, the Bett…
quant-ph2025
Enriched Categories for Parameterized Circuit Semantics
Scott Wesley
It is well-known that combinatorial circuits are modeled mathematically by string diagrams in a monoidal category. Given a gate set , the circuits over can be thought of as…