One-Shot Lossy Quantum Data Compression

We provide a framework for one-shot quantum rate distortion coding, in which the goal is to determine the minimum number of qubits required to compress quantum information as a function of the probability that the distortion incurred upon decompression exceeds some specified level. We obtain a one-s...

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Bibliographic Details
Published in:	IEEE transactions on information theory Vol. 59; no. 12; pp. 8057 - 8076
Main Authors:	Datta, Nilanjana, Renes, Joseph M., Renner, Renato, Wilde, Mark M.
Format:	Journal Article
Language:	English
Published:	New York, NY IEEE 01.12.2013 Institute of Electrical and Electronics Engineers The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects:	Applied sciences Asymptotic methods Classical and quantum physics: mechanics and fields Codes Coding, codes Data compression Distortion measurement Entanglement assistance Entropy Exact sciences and technology hypothesis testing Information theory Information, signal and communications theory lossy quantum data compression max-information min- and max-entropy Physics Probability distribution Quantum entanglement Quantum information quantum rate distortion Rate distortion theory Rate-distortion relative entropy Signal and communications theory Telecommunications and information theory Lossy compression hypothesis testing Entanglement assistance Data compression quantum rate distortion Information quantity Rate distortion theory Entropy Hypothesis test lossy quantum data compression max-information Information source Coding Minimax method relative entropy min- and max-entropy Quantum information Memoryless source
ISSN:	0018-9448, 1557-9654
Online Access:	Get full text
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