4 papers
Fast convergence of Dynamic Capacities of GNS-Symmetric Quantum Channels
Omar Fawzi, Li Gao, Mizanur Rahaman +1
We consider a quantum system described by a quantum channel that is applied at every time step and study the time evolution of its information capacities. When is a GNS-s…
Separable neighbourhood of identity in C-algebras
Mizanur Rahaman, Mateusz Wasilewski
We study the structure of separable elements in bipartite C-algebras, focusing on the existence and size of a separable neighbourhood around the identity element. While th…
Exactness and LLP Results via Operator System Methods
Kenneth R. Davidson, Vern I. Paulsen, Mizanur Rahaman
In this paper, we employ operator system techniques to investigate structural properties of C*-algebras. In particular, we provide more direct proofs of results concerning exactnes…
Asymptotic Equipartition Theorems in von Neumann algebras
Omar Fawzi, Li Gao, Mizanur Rahaman
The Asymptotic Equipartition Property (AEP) in information theory establishes that independent and identically distributed (i.i.d.) states behave in a way that is similar to unifor…