9 papers
Quantum Shannon theory made robust: a tale of three protocols for almost i.i.d. sources
Filippo Girardi, Nilanjana Datta, Giacomo De Palma +1
The asymptotic rates of information-theoretic protocols - including error exponents, data-compression rates, and channel capacities - are traditionally derived under the idealised…
Robustness of Entanglement Manipulation for almost i.i.d. sources
Nilanjana Datta
We study the robustness of asymptotic entanglement manipulation beyond the exact i.i.d. regime, focusing on Mazzola--Sutter--Renner (MSR) almost i.i.d. sources, which allow a subli…
Entropy Concentration and Universal Typicality for Weakly Almost i.i.d. Quantum Sources
Nilanjana Datta
Weakly almost i.i.d. quantum sources are sequences of multipartite states whose fixed-size marginals converge, on average, to tensor powers of a reference state, while allowing arb…
Tight relations and equivalences between smooth relative entropies
Bartosz Regula, Ludovico Lami, Nilanjana Datta
The precise one-shot characterisation of operational tasks in classical and quantum information theory relies on different forms of smooth entropic quantities. A particularly impor…
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…
Information storage and transmission under Markovian noise
Satvik Singh, Nilanjana Datta
We study the information transmission capacities of quantum Markov semigroups acting on dimensional quantum systems. We show that, in the limit of $t…