8 papers
Conformal blocks for modular vertex algebras
Colton Griffin
Given a vertex operator algebra over , it is known how to define so-called sheaves of coinvariants and conformal blocks on the moduli space $\overline{\mathcal{M}}_…
Modular Zhu algebra theory and Virasoro vertex algebras
Colton Griffin
We develop the representation theory of vertex algebras over arbitrary commutative rings as part of a relative theory, suitable for various applications such as the study of modula…
Cohomological vertex algebras
Colton Griffin
Vertex algebras (and their modules) can be described as vector spaces together with a linear operator-valued series in one parameter . With the interpretation of as a coordi…
Simulations of Classical Three-Body Thermalization in One Dimension
M. Eltohfa, Xinghan Wang, Colton M. Griffin +1
One-dimensional systems, such as nanowires or electrons moving along strong magnetic field lines, have peculiar thermalization physics. The binary collision of point-like particles…
Use of statistically leinert sets to calculate return probabilities of random walks in F_s1 x F_s2
Colton Griffin, Sanchita Chakraborty
Hastings first presented bounds on the second largest eigenvalue for matrices in a Hermitian complete positive map in 2007. In this work we extend his work to tighten these bounds.…
An Index for Inclusions of Operator Systems
Roy Araiza, Colton Griffin, Thomas Sinclair
Inspired by a well-known characterization of the index of an inclusion of II factors due to Pimsner and Popa, we define an index-type invariant for inclusions of operator syste…
Approximating projections by quantum operations
Roy Araiza, Colton Griffin, Aneesh Khilnani +1
Using techniques from semidefinite programming, we study the problem of finding a closest quantum channel to the projection onto a matricial subsystem. We derive two invariants of…
Constructing Approximately Diagonal Quantum Gates
Colton Griffin, Shawn X. Cui
We study a method of producing approximately diagonal 1-qubit gates. For each positive integer, the method provides a sequence of gates that are defined iteratively from a fixed di…