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Relating relative entropy, optimal transport and Fisher information: a quantum HWI inequality
Cambyse Rouzé, Nilanjana Datta
Quantum Markov semigroups characterize the time evolution of an important class of open quantum systems. Studying convergence properties of such a semigroup, and determining concen…
Petz recovery versus matrix reconstruction
Milan Holzäpfel, Marcus Cramer, Nilanjana Datta +1
The reconstruction of the state of a multipartite quantum mechanical system represents a fundamental task in quantum information science. At its most basic, it concerns a state of…
Approaches for approximate additivity of the Holevo information of quantum channels
Felix Leditzky, Eneet Kaur, Nilanjana Datta +1
We study quantum channels that are close to another channel with weakly additive Holevo information and derive upper bounds on their classical capacity. Examples of channels with w…
Tight uniform continuity bound for a family of entropies
Eric P. Hanson, Nilanjana Datta
We prove a tight uniform continuity bound for a family of entropies which includes the von Neumann entropy, the Tsallis entropy and the -Rényi entropy, , for .…
Maximum and minimum entropy states yielding local continuity bounds
Eric P. Hanson, Nilanjana Datta
Given an arbitrary quantum state (), we obtain an explicit construction of a state (resp. ) which has the maximum (resp. minimum) entr…
Concentration of quantum states from quantum functional and transportation cost inequalities
Cambyse Rouzé, Nilanjana Datta
Quantum functional inequalities (e.g. the logarithmic Sobolev- and Poincaré inequalities) have found widespread application in the study of the behavior of primitive quantum Markov…