activity
20002023
most citedDivisibility and Information Flow Notions of Quantum Markovianity for Noninvertible Dynamical Maps

77 citations · 253 across the 28 of their papers we have counts for

collaborators

32 papers

math.OA2023

Infinite dimensional analogues of Choi matrices

Kyung Hoon Han, Seung-Hyeok Kye, Erling Størmer

For a class of linear maps on a von Neumann factor, we associate two objects, bounded operators and trace class operators, both of which play the roles of Choi matrices. Each of th…

math.OA2020

Convex cones in mapping spaces between matrix algebras

Mark Girard, Seung-Hyeok Kye, Erling Størmer

We introduce the notion of one-sided mapping cones of positive linear maps between matrix algebras. These are convex cones of maps that are invariant under compositions by complete…

math.HO2019

Ola Bratteli and his diagrams

Tone Bratteli, Trond Digernes, George Elliott +6

This article discusses the life and work of Professor Ola Bratteli (1946--2015). Family, fellow students, his advisor, colleagues and coworkers review aspects of his life and his o…

math.OA2018★ 1 cited

Extension of positive maps

Erling Størmer

We prove two extension theorems for positive maps from operator systems into matrix algebras

quant-ph2017★ 77 cited

Divisibility and Information Flow Notions of Quantum Markovianity for Noninvertible Dynamical Maps

Dariusz Chruściński, Ángel Rivas, Erling Størmer

We analyze the relation between CP-divisibility and the lack of information backflow for an arbitrary -- not necessarily invertible -- dynamical map. It is well known that CP-divis…

math.FA2017

Uffe Haagerup - His life and mathematics

Mohammad Sal Moslehian, Erling Størmer, Steen Thorbjørnsen +1

In remembrance of Professor Uffe Valentin Haagerup (1949--2015), as a brilliant mathematician, we review some aspects of his life, and his outstanding mathematical accomplishments.