Converse Bounds for Private Communication Over Quantum Channels

DOI10.1109/TIT.2017.2648825zbMath1366.81110arXiv1602.08898WikidataQ59832390 ScholiaQ59832390MaRDI QIDQ5280869

Marco Tomamichel, Mario Berta, Mark M. Wilde

Publication date: 27 July 2017

Published in: IEEE Transactions on Information Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1602.08898

Mathematics Subject Classification ID

Measures of information, entropy (94A17) Authentication, digital signatures and secret sharing (94A62) Quantum information, communication, networks (quantum-theoretic aspects) (81P45) Quantum cryptography (quantum-theoretic aspects) (81P94)

Related Items (21)

Relative entropy bounds on quantum, private and repeater capacities ⋮ Enhancing continuous variable quantum key distribution with a heralded hybrid linear amplifier ⋮ Moderate deviation analysis for classical communication over quantum channels ⋮ Convergence rates for the quantum central limit theorem ⋮ Rényi relative entropies of quantum Gaussian states ⋮ Relative entropy of steering: on its definition and properties ⋮ Ke Li's lemma for quantum hypothesis testing in general von Neumann algebras ⋮ Geometric distinguishability measures limit quantum channel estimation and discrimination ⋮ Amortized entanglement of a quantum channel and approximately teleportation-simulable channels ⋮ Position-based coding and convex splitting for private communication over quantum channels ⋮ Capacity bounds via operator space methods ⋮ Squashed entanglement and approximate private states ⋮ Structure of irreducibly covariant quantum channels for finite groups ⋮ Geometric Rényi divergence and its applications in quantum channel capacities ⋮ Entanglement-assisted private communication over quantum broadcast channels ⋮ Optimized quantumf-divergences and data processing ⋮ The squashed entanglement of the noiseless quantum Gaussian attenuator and amplifier ⋮ Capacity estimates via comparison with TRO channels ⋮ Union bound for quantum information processing ⋮ Quantum channels with quantum group symmetry ⋮ Recoverability for optimized quantum f-divergences

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