24 citations · 56 across the 12 of their papers we have counts for
4 papers · 1 filter
Positively Factorizable Maps
Jeremy Levick, Mizanur Rahaman
We initiate a study of linear maps on that have the property that they factor through a tracial von Neumann algebra via operators $Z\in M_n(\mat…
Nullspaces of Entanglement Breaking Channels and Applications
D. W. Kribs, J. Levick, K. Olfert +2
We investigate the nullspace structures of entanglement breaking channels, and related applications. We show that every operator space of trace zero matrices is the nullspace of an…
Twirling channels have minimal mixed-unitary rank
Mark Girard, Jeremy Levick
For a positive integer and a unitary representation of a compact group , the twirling channel for this representation is the linear mapping $Φ:…
On the mixed-unitary rank of quantum channels
Mark Girard, Debbie Leung, Jeremy Levick +4
In the theory of quantum information, the mixed-unitary quantum channels, for any positive integer dimension , are those linear maps that can be expressed as a convex combinatio…