A one-shot achievability result for quantum state redistribution

Abstract

We study the problem of entanglement-assisted quantum state redistribution in the one-shot setting and provide a new achievability result on the quantum communication required. Our bounds are in terms of the max-relative entropy and the hypothesis testing relative entropy. We use the techniques of convex split and position-based decoding to arrive at our result. We show that our result is upper bounded by the result obtained in Berta, Christandl, Touchette (2016).

22 pages, close to published version. Classical results now appear in arXiv:1707.03619

References in corpus (8)

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Cited by in corpus (17)

• One shot entanglement assisted classical and quantum communication over noisy quantum channels: A hypothesis testing and convex split approach
• Thermodynamic Capacity of Quantum Processes
• Applications of position-based coding to classical communication over quantum channels
• A generalized quantum Slepian-Wolf
• Convex-split and hypothesis testing approach to one-shot quantum measurement compression and randomness extraction
• Thermodynamic Implementations of Quantum Processes
• Efficient methods for one-shot quantum communication
• One-shot quantum state redistribution and quantum Markov chains
• A unified approach to source and message compression
• One-Shot Hybrid State Redistribution
• Role of Hypothesis Testing in Quantum Information
• Quantum State Merging for Arbitrarily Small-Dimensional Systems
• One-shot quantum state exchange
• Noisy quantum state redistribution with promise and the Alpha-bit
• State transfer with quantum side information
• Communication with Quantum Catalysts
• Expected communication cost of distributed quantum tasks