118 citations · 240 across the 12 of their papers we have counts for
13 papers
Entanglement in C-algebras: tensor products of state spaces
Magdalena Musat, Mikael Rørdam
We analyze the Namioka-Phelps minimal and maximal tensor products of compact convex sets which arise as the state spaces of unital C-algebras. Relatedly, we study entanglement…
The Connes-Kirchberg Problem and infinite-dimensional phenomena in quantum information theory
Magdalena Musat
We give an overview of results tying together a circle of problems connected to the Connes Embedding Problem, Kirchberg's reformulations thereof, Tsirelson's conjecture and its rel…
Extreme Points and Factorizability for New Classes of Unital Quantum Channels
Uffe Haagerup, Magdalena Musat, Mary Beth Ruskai
We introduce and study two new classes of unital quantum channels. The first class describes a 2-parameter family of channels given by completely positive (CP) maps $M_3({\bf C}) \…
Factorizable maps and traces on the universal free product of matrix algebras
Magdalena Musat, Mikael Rørdam
We relate factorizable quantum channels on , for , via their Choi matrix, to certain correlation matrices, which, in turn, are shown to be parametrized by traces on t…
Non-closure of quantum correlation matrices and factorizable channels that require infinite dimensional ancilla
Magdalena Musat, Mikael Rørdam
We show that there exist factorizable quantum channels in each dimension which do not admit a factorization through any finite dimensional von Neumann algebra, and do requ…
Just-infinite C*-algebras
Rostislav Grigorchuk, Magdalena Musat, Mikael Rørdam
By analogy with the well-established notions of just-infinite groups and just-infinite (abstract) algebras, we initiate a systematic study of just-infinite C*-algebras, i.e., infin…