Quantum Markov chains, sufficiency of quantum channels, and Rényi information measures

DOI10.1088/1751-8113/48/50/505301zbMath1330.81139arXiv1501.05636OpenAlexW1500212248WikidataQ59832470 ScholiaQ59832470MaRDI QIDQ3460491

Mark M. Wilde, Nilanjana Datta

Publication date: 7 January 2016

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1501.05636

Mathematics Subject Classification ID

Quantum stochastic calculus (81S25) Measures of information, entropy (94A17) Channel models (including quantum) in information and communication theory (94A40) Coding theorems (Shannon theory) (94A24) Quantum information, communication, networks (quantum-theoretic aspects) (81P45)

Related Items

A strengthened monotonicity inequality of quantum relative entropy: a unifying approach via Rényi relative entropy, Data processing for the sandwiched Rényi divergence: a condition for equality, Markovian and non-Markovian quantum measurements, Swiveled Rényi entropies, Rényi relative entropies of quantum Gaussian states, Preservation of a quantum Rényi relative entropy implies existence of a recovery map, A quantum Markov chain approach to phase transitions for quantum Ising model with competing XY-interactions on a Cayley tree