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Convergence rates for quantum evolution & entropic continuity bounds in infinite dimensions
Simon Becker, Nilanjana Datta
By extending the concept of energy-constrained diamond norms, we obtain continuity bounds on the dynamics of both closed and open quantum systems in infinite-dimensions, which are…
Convexity and Operational Interpretation of the Quantum Information Bottleneck Function
Nilanjana Datta, Christoph Hirche, Andreas Winter
In classical information theory, the information bottleneck method (IBM) can be regarded as a method of lossy data compression which focusses on preserving meaningful (or relevant)…
Duality between source coding with quantum side information and c-q channel coding
Hao-Chung Cheng, Eric P. Hanson, Nilanjana Datta +1
In this paper, we establish an interesting duality between two different quantum information-processing tasks, namely, classical source coding with quantum side information, and ch…
Quantum reverse hypercontractivity: its tensorization and application to strong converses
Salman Beigi, Nilanjana Datta, Cambyse Rouzé
In this paper we develop the theory of quantum reverse hypercontractivity inequalities and show how they can be derived from log-Sobolev inequalities. Next we prove a generalizatio…
Non-Asymptotic Classical Data Compression with Quantum Side Information
Hao-Chung Cheng, Eric P. Hanson, Nilanjana Datta +1
In this paper, we analyze classical data compression with quantum side information (also known as the classical-quantum Slepian-Wolf protocol) in the so-called large and moderate d…