3 citations · 3 across the 3 of their papers we have counts for
4 papers
Classification of q-pure q-weight maps over finite dimensional Hilbert spaces
Christopher Jankowski, Daniel Markiewicz, Robert T. Powers
An -semigroup of is a one parameter strongly continuous semigroup of -endomorphisms of that preserve the identity. Every -semigroup that possesses a stro…
Aligned CP-semigroups
Christopher Jankowski, Daniel Markiewicz, Robert T. Powers
A CP-semigroup is aligned if its set of trivially maximal subordinates is totally ordered by subordination. We prove that aligned spatial E_0-semigroups are prime: they have no non…
E_0-semigroups and q-purity
Christopher Jankowski, Daniel Markiewicz, Robert T. Powers
An E_0-semigroup is called q-pure if it is a CP-flow and its set of flow subordinates is totally ordered by subordination. The range rank of a positive boundary weight map is the d…
Local Unitary Cocycles of E_0-semigroups
Daniel Markiewicz, Robert T. Powers
This paper concerns the structure of the group of local unitary cocycles, also called the gauge group, of an E_0-semigroup. The gauge group of a spatial E_0-semigroup has a natural…