6 papers
An Algebraic Theory of Gapped Domain Wall Partons
Matthew Buican, Roman Geiko, Milo Moses +1
The entanglement bootstrap program has generated new quantum numbers associated with degrees of freedom living on gapped domain walls between topological phases in two dimensions.…
Clifford circuits over non-cyclic abelian groups
Milo Moses, Jacek Horecki, Konrad Deka +1
We present a discussion of the generalized Clifford group over non-cyclic finite abelian groups. These Clifford groups appear naturally in the theory of topological error correctio…
Anyons in a highly-entangled toric xy model
Milo Moses, Konrad Deka
While ostensibly coined in 1989 by Xiao-Gang Wen, the term "topological order" has been in use since 1972 to describe the behavior of the classical xy model. It has been noted that…
Endomorphisms of a certain ring of rational functions
Milo Moses
We define a ring whose elements are rational functions, whose addition is polynomial multiplication, and whose multiplication is a convolution operation. It is then show that this…
Partial Liouville sums over divisors
Milo Moses
Using sieves and elementary manipulations, we show that the signs of partial sums of the Liouville function over divisors are in a strong sense equally distributed.
Pontryagin Duality for Modules over Compact Discrete Valuation Rings
Milo Moses
We establish an analogue of Pontryagin duality for modules over compact discrete valuation rings . Namely, we define the dual of a topological module to be its continuous $R…