A General Fidelity Limit for Quantum Channels

Abstract

We derive a general limit on the fidelity of a quantum channel conveying an ensemble of pure states. Unlike previous results, this limit applies to arbitrary coding and decoding schemes, including nonunitary decoding. This establishes the converse of the quantum noiseless coding theorem for all such schemes.

14 pages, RevTeX. Submittted to Physical Review A

References in corpus (1)

• Quantum State Disturbance vs. Information Gain: Uncertainty Relations for Quantum Information

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• Classical Communication Cost in Distributed Quantum Information Processing - A generalization of Quantum Communication Complexity
• Information transmission through a noisy quantum channel
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• Quantifying entanglement resources
• Fidelity for displaced squeezed states and the oscillator semigroup
• Distinguishability of States and von Neumann Entropy
• Coding Theorems of Quantum Information Theory
• Universal Quantum Information Compression
• The classical communication cost of entanglement manipulation: Is entanglement an inter-convertible resource?
• Quantum universal variable-length source coding
• Optimal Entanglement Generation from Quantum Operations
• On the communication cost of entanglement transformations
• Limits for compression of quantum information carried by ensembles of mixed states
• Second-order asymptotics for source coding, dense coding and pure-state entanglement conversions
• Exponents of quantum fixed-length pure state source coding
• On quantum coding for ensembles of mixed states
• Indeterminate-length quantum coding
• Are there basic laws of quantum information processing?
• Lossless quantum data compression and variable-length coding
• Compressibility of Mixed-State Signals
• Non-additivity of quantum capacity for multiparty communication channels
• Sending quantum entanglement through noisy channels
• Hellinger distance as a measure of Gaussian discord
• Towards a geometrical interpretation of quantum information compression
• Trading quantum for classical resources in quantum data compression
• Optimal compression for mixed signal states
• Asymptotic Redundancies for Universal Quantum Coding
• Distributed Compression of Correlated Classical-Quantum Sources or: The Price of Ignorance
• General Mixed State Quantum Data Compression with and without Entanglement Assistance
• On the reversible extraction of classical information from a quantum source
• Visible compression of commuting mixed states
• On Bures fidelity of displaced squeezed thermal states
• A probabilistic and information theoretic interpretation of quantum evolutions
• Entanglement-Assisted Quantum Data Compression
• From Quantum Source Compression to Quantum Thermodynamics
• Key Distillation and the Secret-Bit Fraction
• Rate Reduction of Blind Quantum Data Compression with Local Approximations Based on Unstable Structure of Quantum States
• A Rate-Distortion Perspective on Quantum State Redistribution
• The Data Compression Theorem for Ergodic Quantum Information Sources