8 citations · 12 across the 4 of their papers we have counts for
4 papers
Cohomology of Effect Algebras
Frank Roumen
We will define two ways to assign cohomology groups to effect algebras, which occur in the algebraic study of quantum logic. The first way is based on Connes' cyclic cohomology. Th…
Duality for convex monoids
Frank Roumen, Sutanu Roy
Every C*-algebra gives rise to an effect module and a convex space of states, which are connected via Kadison duality. We explore this duality in several examples, where the C*-alg…
Categorical characterizations of operator-valued measures
Frank Roumen
The most general type of measurement in quantum physics is modeled by a positive operator-valued measure (POVM). Mathematically, a POVM is a generalization of a measure, whose valu…
Coalgebraic Quantum Computation
Frank Roumen
Coalgebras generalize various kinds of dynamical systems occuring in mathematics and computer science. Examples of systems that can be modeled as coalgebras include automata and Ma…