dorsal/arxiv
View SchemaQuantum Rate-Distortion Theory for I.I.D. Sources
| Authors | Igor Devetak, Toby Berger |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0011085 |
| URL | https://arxiv.org/abs/quant-ph/0011085 |
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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"abstract": "We formulate quantum rate-distortion theory in the most general setting where\nclassical side information is included in the tradeoff. Using a natural\ndistortion measure based on entanglement fidelity and specializing to the case\nof an unrestricted classical side channel, we find the exact quantum\nrate-distortion function for a source of isotropic qubits. An upper bound we\nbelieve to be exact is found in the case of biased sources. We establish that\nin this scenario optimal rate-distortion codes produce no entropy exchange with\nthe environment of any individual qubit.",
"arxiv_id": "quant-ph/0011085",
"authors": [
"Igor Devetak",
"Toby Berger"
],
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"quant-ph"
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"title": "Quantum Rate-Distortion Theory for I.I.D. Sources",
"url": "https://arxiv.org/abs/quant-ph/0011085"
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