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An upper bound on the second order asymptotic expansion for the quantum communication cost of state redistribution
Nilanjana Datta, Min-Hsiu Hsieh, Jonathan Oppenheim
State redistribution is the protocol in which, given an arbitrary tripartite quantum state, with two of the subsystems initially being with Alice and one being with Bob, the goal i…
Equivalence between divisibility and monotonic decrease of information in classical and quantum stochastic processes
Francesco Buscemi, Nilanjana Datta
The crucial feature of a memoryless stochastic process is that any information about its state can only decrease as the system evolves. Here we show that such a decrease of informa…
Second order asymptotics of visible mixed quantum source coding via universal codes
Felix Leditzky, Nilanjana Datta
The simplest example of a quantum information source with memory is a mixed source which emits signals entirely from one of two memoryless quantum sources with given a priori proba…
On the Second-Order Asymptotics for Entanglement-Assisted Communication
Nilanjana Datta, Marco Tomamichel, Mark M. Wilde
The entanglement-assisted classical capacity of a quantum channel is known to provide the formal quantum generalization of Shannon's classical channel capacity theorem, in the sens…
Game-theoretic characterization of antidegradable channels
Francesco Buscemi, Nilanjana Datta, Sergii Strelchuk
We introduce a guessing game involving a quantum channel, three parties - the sender, the receiver and an eavesdropper, Eve - and a quantum public side channel. We prove that a nec…
Second-order asymptotics for source coding, dense coding and pure-state entanglement conversions
Nilanjana Datta, Felix Leditzky
We introduce two variants of the information spectrum relative entropy defined by Tomamichel and Hayashi which have the particular advantage of satisfying the data-processing inequ…