5 papers
Generalized Stein's lemma and asymptotic equipartition property for subalgebra entropies
Li Gao, Mizanur Rahaman
The quantum Stein's lemma is a fundamental result of quantum hypothesis testing in the context of distinguishing two quantum states. The ``generalized quantum Stein's lemma'' asser…
Jensen's inequality for partial traces in von Neumann algebras
Mizanur Rahaman, Lyudmila Turowska
Motivated by a recent result on finite-dimensional Hilbert spaces, we prove a Jensen's inequality for partial traces in semifinite von Neumann algebras. We also prove a similar ine…
Emulation Capacity between Idempotent Channels
Idris Delsol, Omar Fawzi, Li Gao +1
We study the optimal rates of emulation (also called interconversion) between quantum channels. When the source and the target channels are idempotent, we give a single-letter expr…
Zero-error communication under discrete-time Markovian dynamics
Satvik Singh, Mizanur Rahaman, Nilanjana Datta
Consider an open quantum system with (discrete-time) Markovian dynamics. Our task is to store information in the system in such a way that it can be retrieved perfectly, even after…
Capacities of quantum Markovian noise for large times
Omar Fawzi, Mizanur Rahaman, Mostafa Taheri
Given a quantum Markovian noise model, we study the maximum dimension of a classical or quantum system that can be stored for arbitrarily large time. We show that, unlike the fixed…