Relative entropy bounds on quantum, private and repeater capacities

DOI10.1007/s00220-017-2885-yzbMath1366.81084arXiv1604.03448OpenAlexW2339425479MaRDI QIDQ2358814

Alexander Müller-Hermes, Matthias Christandl

Publication date: 16 June 2017

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1604.03448

Mathematics Subject Classification ID

Measures of information, entropy (94A17) Channel models (including quantum) in information and communication theory (94A40) Quantum information, communication, networks (quantum-theoretic aspects) (81P45)

Related Items (9)

Amortized channel divergence for asymptotic quantum channel discrimination ⋮ Amortized entanglement of a quantum channel and approximately teleportation-simulable channels ⋮ Upper bounds on the private capacity for bosonic Gaussian channels ⋮ A bound on expectation values and variances of quantum observables via Rényi entropy and Tsallis entropy ⋮ Necessary criterion for approximate recoverability ⋮ Geometric Rényi divergence and its applications in quantum channel capacities ⋮ The squashed entanglement of the noiseless quantum Gaussian attenuator and amplifier ⋮ Capacity estimates via comparison with TRO channels ⋮ Computable lower bounds on the entanglement cost of quantum channels

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