Positivity, discontinuity, finite resources, and nonzero error for arbitrarily varying quantum channels

DOI10.1063/1.4902930zbMath1305.94021arXiv1401.5360OpenAlexW3101531626MaRDI QIDQ2939213

Holger Boche, Janis Nötzel

Publication date: 19 January 2015

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

Full work available at URL: https://arxiv.org/abs/1401.5360

zbMATH Keywords

quantum information theoryquantum Shannon theoryentanglement transmissioncommon randomnessarbitrarily varying quantum channelsquantum channel coding

Mathematics Subject Classification ID

Channel models (including quantum) in information and communication theory (94A40) Quantum coherence, entanglement, quantum correlations (81P40) Coding theorems (Shannon theory) (94A24) Quantum information, communication, networks (quantum-theoretic aspects) (81P45) Quantum coding (general) (81P70)

Related Items

Resource cost results for one-way entanglement distillation and state merging of compound and arbitrarily varying quantum sources, Classical-quantum arbitrarily varying wiretap channel: common randomness assisted code and continuity, Reliable communication under the influence of a state-constrained jammer: an information-theoretic perspective on receive diversity, Simultaneous transmission of classical and quantum information under channel uncertainty and jamming attacks, Secret message transmission over quantum channels under adversarial quantum noise: Secrecy capacity and super-activation, Analytical properties of Shannon's capacity of arbitrarily varying channels under list decoding: super-additivity and discontinuity behavior

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Secrecy results for compound wiretap channels
• Continuity of quantum channel capacities
• Entanglement transmission and generation under channel uncertainty: universal quantum channel coding
• Quantum capacity under adversarial quantum noise: arbitrarily varying quantum channels
• Zero-Error Communication via Quantum Channels, Noncommutative Graphs, and a Quantum Lovász Number
• Exponential error bounds for random codes in the arbitrarily varying channel
• The Private Classical Capacity and Quantum Capacity of a Quantum Channel
• Classical Capacity of Classical-Quantum Arbitrarily Varying Channels
• Arbitrarily varying channels with states sequence known to the sender
• The capacity of the arbitrarily varying channel revisited: positivity, constraints
• Elimination of correlation in random codes for arbitrarily varying channels
• Correlated sources help transmission over an arbitrarily varying channel
• General teleportation channel, singlet fraction, and quasidistillation
• Strong Secrecy for Multiple Access Channels
• Arbitrarily Varying and Compound Classical-Quantum Channels and a Note on Quantum Zero-Error Capacities
• Classical Capacities of Compound and Averaged Quantum Channels
• Entanglement Breaking Channels
• Arbitrarily small amounts of correlation for arbitrarily varying quantum channels