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Quantum Rate-Distortion Theory for I.I.D. Sources

Igor Devetak·Toby Berger
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Abstract

We formulate quantum rate-distortion theory in the most general setting where classical side information is included in the tradeoff. Using a natural distortion measure based on entanglement fidelity and specializing to the case of an unrestricted classical side channel, we find the exact quantum rate-distortion function for a source of isotropic qubits. An upper bound we believe to be exact is found in the case of biased sources. We establish that in this scenario optimal rate-distortion codes produce no entropy exchange with the environment of any individual qubit.

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Igor Devetak, Toby Berger. 2002-03-01. Quantum Rate-Distortion Theory for I.I.D. Sources. https://arxiv.org/abs/quant-ph/0011085

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