Unified approach to quantum capacities: towards quantum noisy coding theorem

Abstract

Basing on unified approach to {\it all} kinds of quantum capacities we show that the rate of quantum information transmission is bounded by the maximal attainable rate of coherent information. Moreover, we show that, if for any bipartite state the one-way distillable entanglement is no less than coherent information, then one obtains Shannon-like formulas for all the capacities. The inequality also implies that the decrease of distillable entanglement due to mixing process does not exceed of corresponding loss information about a system.

4 pages, Revtex

References in corpus (2)

• Limits for entanglement measures
• Classical information and distillable entanglement

Cited by in corpus (40)

• Quantum entanglement
• Distillation of secret key and entanglement from quantum states
• Direct estimations of linear and non-linear functionals of a quantum state
• Universal Quantum Estimator
• Dynamics of quantum entanglement
• The asymptotic entanglement cost of preparing a quantum state
• Secure key from bound entanglement
• Fundamentals of Quantum Information Theory
• Quantum state merging and negative information
• The Uniqueness Theorem for Entanglement Measures
• A uniqueness theorem for entanglement measures
• Relating quantum privacy and quantum coherence: an operational approach
• Entanglement irreversibility from quantum discord and quantum deficit
• Tema Con Variazioni: Quantum Channel Capacity
• Classical information capacity of superdense coding
• Principles of Quantum Communication Theory: A Modern Approach
• Catalysis of entanglement and other quantum resources
• Continuous-variable quantum repeater based on quantum scissors and mode multiplexing
• Continuous-variable entanglement distillation over a pure loss channel with multiple quantum scissors
• Efficient distillation beyond qubits
• Gaussian relative entropy of entanglement
• Secret key distillation across a quantum wiretap channel under restricted eavesdropping
• A simple entanglement measure for multipartite pure states
• Distributed Private Randomness Distillation
• Simple test for quantum channel capacity
• Entanglement Distillation; A Discourse on Bound Entanglement in Quantum Information Theory
• Bounds for entanglement of formation of two mode squeezed thermal states
• Quantum channel capacities - multiparty communication
• Entanglement catalysis for quantum states and noisy channels
• Teleportation and entanglement distillation in the presence of correlation among bipartite mixed states
• Generalizing Entanglement
• Energy-constrained LOCC-assisted quantum capacity of bosonic dephasing channel
• Resource reduction via repeaters in entanglement distribution
• Information-theoretic aspects of the generalized amplitude damping channel
• Aspects of multistation quantum information broadcasting
• Perturbational approach to the quantum capacity of additive Gaussian quantum channel
• An entanglement measure based on the capacity of dense coding
• Adaptive Channel Reshaping for Improved Entanglement Distillation
• Does connected wedge imply distillable entanglement?
• Optimal bound on long-range distillable entanglement