Quantum state redistribution based on a generalized decoupling

Abstract

We develop a simple protocol for a one-shot version of quantum state redistribution, which is the most general two-terminal source coding problem. The protocol is simplified from a combination of protocols for the fully quantum reverse Shannon and fully quantum Slepian-Wolf problems, with its time-reversal symmetry being apparent. When the protocol is applied to the case where the redistributed states have a tensor power structure, more natural resource rates are obtained.

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Cited by in corpus (19)

• Optimal quantum source coding with quantum information at the encoder and decoder
• Quantum message compression with applications
• Trading classical communication, quantum communication, and entanglement in quantum Shannon theory
• A multipartite generalization of quantum discord
• The apex of the family tree of protocols: Optimal rates and resource inequalities
• Relative entropy and squashed entanglement
• Quantum rate distortion coding with auxiliary resources
• Smooth Entropy Bounds on One-Shot Quantum State Redistribution
• Deconstruction and conditional erasure of quantum correlations
• A one-shot achievability result for quantum state redistribution
• Distributed Private Randomness Distillation
• Conditional Decoupling of Quantum Information
• Communication Cost for Non-Markovianity of Tripartite Quantum States: A Resource Theoretic Approach
• One-Shot Hybrid State Redistribution
• Quantum State Merging for Arbitrarily Small-Dimensional Systems
• Noisy quantum state redistribution with promise and the Alpha-bit
• Operational Resource Theory of Non-Markovianity
• Asymptotic Compressibility of Entanglement and Classical Communication in Distributed Quantum Computation
• Random coding exponents galore via decoupling