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Second-order asymptotics for quantum hypothesis testing in settings beyond i.i.d. - quantum lattice systems and more
Nilanjana Datta, Yan Pautrat, Cambyse Rouzé
Quantum Stein's Lemma is a cornerstone of quantum statistics and concerns the problem of correctly identifying a quantum state, given the knowledge that it is one of two specific s…
Strong converse theorems using Rényi entropies
Felix Leditzky, Mark M. Wilde, Nilanjana Datta
We use a Rényi entropy method to prove strong converse theorems for certain information-theoretic tasks which involve local operations and quantum or classical communication betwee…
Decoding quantum information via the Petz recovery map
Salman Beigi, Nilanjana Datta, Felix Leditzky
We obtain a lower bound on the maximum number of qubits, , which can be transmitted over uses of a quantum channel , for a given non-zero er…
Entropy power inequalities for qudits
Koenraad Audenaert, Nilanjana Datta, Maris Ozols
Shannon's entropy power inequality (EPI) can be viewed as a statement of concavity of an entropic function of a continuous random variable under a scaled addition rule: $$f(\sqrt{a…
Quantum Markov chains, sufficiency of quantum channels, and Renyi information measures
Nilanjana Datta, Mark M. Wilde
A short quantum Markov chain is a tripartite state such that system can be recovered perfectly by acting on system of the reduced state . Such states have…