QUANTUM ENTROPY AND INFORMATION IN DISCRETE ENTANGLED STATES

DOI10.1142/S0219025701000425zbMath1039.81009OpenAlexW2161304512MaRDI QIDQ4460441

Masanori Ohya, Vyacheslav P. Belavkin

Publication date: 18 May 2004

Published in: Infinite Dimensional Analysis, Quantum Probability and Related Topics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219025701000425

zbMATH Keywords

\(d\)-entanglements\(q\)-conditional entropy \(q\)-capacity quantum noiseless channelquantum entanglements

Mathematics Subject Classification ID

Quantum computation (81P68) Applications of operator theory in the physical sciences (47N50) Quantum equilibrium statistical mechanics (general) (82B10) Quantum stochastic calculus (81S25) Quantum measurement theory, state operations, state preparations (81P15) Applications of functional analysis in quantum physics (46N50) Operator algebra methods applied to problems in quantum theory (81R15)

Related Items (9)

Entropy and entanglement of time dependent two-mode Jaynes-Cummings model ⋮ Quantum proper entropies and additive capacities of quantum information channels ⋮ Quantum correlation with entanglement and mutual entropy ⋮ Characterization of partial positive transposition states and measures of entanglement ⋮ AN OPERATIONAL ALGEBRAIC APPROACH TO QUANTUM CHANNEL CAPACITY ⋮ ENTANGLED MARKOV CHAINS ARE INDEED ENTANGLED ⋮ On positive maps in quantum information ⋮ Quantum transmission processes and their entropies ⋮ Compound state, its conditionality and quantum mutual information

Cites Work

• Some aspects of quantum information theory and their applications to irreversible processes
• Relative entropy of states of von Neumann algebras
• Relative entropy and the Wigner-Yanase-Dyson-Lieb concavity in an interpolation theory
• Quantum stochastic positive evolutions: Characterization, construction, dilation
• Note on quantum dynamical entropies
• Dynamical approximation entropies and topological entropy in operator algebras
• An operational approach to quantum probability
• A New Proof of the Quantum Noiseless Coding Theorem
• Quantum cryptography based on Bell’s theorem
• Teleporting an unknown quantum state via dual classical and Einstein-Podolsky-Rosen channels
• On compound state and mutual information in quantum information theory (Corresp.)
• Conditional expectation in an operator algebra. IV. Entropy and information

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