Mathematical techniques for quantum communication theory

DOI10.1007/BF02228997zbMath0961.81511arXivquant-ph/9604001MaRDI QIDQ3839540

Carlton M. Caves, Christopher A. Fuchs

Publication date: 9 August 1998

Published in: Open Systems & Information Dynamics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/quant-ph/9604001

zbMATH Keywords

quantum communicationquantum measurementsquantum communication channelsHolevo upper boundBures-Uhlmann measure

Mathematics Subject Classification ID

Quantum computation (81P68) Information theory (general) (94A15) Channel models (including quantum) in information and communication theory (94A40) Communication theory (94A05)

Related Items

Connections and metrics respecting purification of quantum states ⋮ Explanation of the Gibbs paradox within the framework of quantum thermodynamics ⋮ Geometry of quantum phase transitions ⋮ Operational interpretation of the sandwiched Rényi divergence of order 1/2 to 1 as strong converse exponents ⋮ Bounds on shannon distinguishability in terms of partitioned measures ⋮ Optimum quantum receiver for detecting weak signals in PAM communication systems ⋮ Lower bounds for predecessor searching in the cell probe model ⋮ Geometry of State Spaces ⋮ On partial fidelities ⋮ Why quantum bit commitment and ideal quantum coin tossing are impossible.

Cites Work

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• A Mathematical Theory of Communication
• States, effects, and operations. Fundamental notions of quantum theory. Lectures in mathematical physics at the University of Texas at Austin. Ed. by A. Böhm, J. D. Dollard and W. H. Wootters
• A remark on transition probability
• Metrics on the set of states of a \(W^ *\)-algebra
• On Cantoni's generalized transition probability
• The transition probability in the state space of a \(^*\)-algebra
• Fidelity for Mixed Quantum States
• Ultimate information carrying limit of quantum systems
• Ensemble-Dependent Bounds for Accessible Information in Quantum Mechanics
• Statistical distance and the geometry of quantum states
• On Information and Sufficiency
• Maximum Properties and Inequalities for the Eigenvalues of Completely Continuous Operators