Entanglement can increase asymptotic rates of zero-error classical communication over classical channels

DOI10.1007/s00220-012-1451-xzbMath1259.94031arXiv1009.1195OpenAlexW3098665333WikidataQ62109093 ScholiaQ62109093MaRDI QIDQ411372

Maris Ozols, William Matthews, Aidan Roy, Laura Mančinska, Debbie W. Leung

Publication date: 4 April 2012

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

Full work available at URL: https://arxiv.org/abs/1009.1195

zbMATH Keywords

entanglementasymptotic zero-error capacityclassical channelzero probability of decoding error

Mathematics Subject Classification ID

Information theory (general) (94A15) Quantum coherence, entanglement, quantum correlations (81P40) Quantum information, communication, networks (quantum-theoretic aspects) (81P45)

Related Items (7)

Conic Approach to Quantum Graph Parameters Using Linear Optimization Over the Completely Positive Semidefinite Cone ⋮ Mutually unbiased weighing matrices ⋮ Green's function approach for quantum graphs: an overview ⋮ Violating the Shannon capacity of metric graphs with entanglement ⋮ Combinatorial entanglement ⋮ Mathematical open problems in projected entangled pair states ⋮ Quantum homomorphisms

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A Mathematical Theory of Communication
• Factor-group-generated polar spaces and (multi-)qudits
• Compression of root systems and the \(E\)-sequence
• Partitions and their stabilizers for line complexes and quadrics
• The diameters graph of the root system \(E_8\) is uniquely geometrisable
• A new proof for the existence of mutually unbiased bases
• Symplectic spreads
• Orthogonal representations over finite fields and the chromatic number of graphs
• Quantum entanglement
• Exceptional and non-crystallographic root systems and the Kochen–Specker theorem
• On the Shannon capacity of a graph
• On Some Problems of Lovász Concerning the Shannon Capacity of a Graph
• Communication via one- and two-particle operators on Einstein-Podolsky-Rosen states
• Teleporting an unknown quantum state via dual classical and Einstein-Podolsky-Rosen channels
• Entanglement-assisted capacity of a quantum channel and the reverse Shannon theorem
• Zero-error information theory
• Quantum information theory
• From qubits to E7
• Zero-Error Channel Capacity and Simulation Assisted by Non-Local Correlations
• Channel Coding Rate in the Finite Blocklength Regime
• Lower bounds to error probability for coding on discrete memoryless channels. I

This page was built for publication: Entanglement can increase asymptotic rates of zero-error classical communication over classical channels