5 citations · 9 across the 6 of their papers we have counts for
6 papers
Cell Systems for Module Categories
Daniel Copeland, Cain Edie-Michell
In this paper, we define the KW cell system on a graph , depending on parameters , a root of unity, and an -th root of unity. This is a polynomial sy…
Classification of pivotal tensor categories with fusion rules related to
Daniel Copeland, Cain Edie-Michell
In this paper we classify all semisimple tensor categories with the same fusion rules as , or one of the associated truncations. We show that such catego…
Quantum query complexity of symmetric oracle problems
Daniel Copeland, Jamie Pommersheim
We study the query complexity of quantum learning problems in which the oracles form a group of unitary matrices. In the simplest case, one wishes to identify the oracle, and w…
Distinguishing symmetric quantum oracles and quantum group multiplication
Orest Bucicovschi, Daniel Copeland, David A. Meyer +1
Given a unitary representation of a finite group on a finite-dimensional Hilbert space, we show how to find a state whose translates under the group are distinguishable with the hi…
Monodromy of the Hitchin Map over Hyperelliptic Curves
D. Jeremy Copeland
In this paper, we study the monodromy of the Hitchin fibration for rank 2 vector bundles over hyperelliptic curves. We reduce the problem to studying a surface braid group generali…
A Special Subgroup of the Surface Braid Group
D. Jeremy Copeland
Herein we prove that if is a compact oriented Riemann surface of genus , and is the classifying space of distinct, unordered points on , then the kernel of…