dorsal/arxiv
View SchemaDistortion operator and Entanglement Information Rate Distortion of Quantum Gaussian Source
| Authors | Xiao-yu Chen |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0511269 |
| URL | https://arxiv.org/abs/quant-ph/0511269 |
Abstract
Quantum random variable, distortion operator are introduced based on canonical operators. As the lower bound of rate distortion, the entanglement information rate distortion is achieved by Gaussian map for Gaussian source. General Gaussian maps are further reduced to unitary transformations and additive noises from the physical meaning of distortion. The entanglement information rate distortion function then are calculated for one mode Gaussian source. The rate distortion is accessible at zero distortion point. For pure state, the rate distortion function is always zero. In contrast to the distortion defined via fidelity, our definition of the distortion makes it possible to calculate the entanglement information rate distortion function for Gaussian source.
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"date_created": "2026-03-02T18:02:23.906000Z",
"date_modified": "2026-03-02T18:02:23.906000Z",
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"abstract": "Quantum random variable, distortion operator are introduced based on\ncanonical operators. As the lower bound of rate distortion, the entanglement\ninformation rate distortion is achieved by Gaussian map for Gaussian source.\nGeneral Gaussian maps are further reduced to unitary transformations and\nadditive noises from the physical meaning of distortion. The entanglement\ninformation rate distortion function then are calculated for one mode Gaussian\nsource. The rate distortion is accessible at zero distortion point. For pure\nstate, the rate distortion function is always zero. In contrast to the\ndistortion defined via fidelity, our definition of the distortion makes it\npossible to calculate the entanglement information rate distortion function for\nGaussian source.",
"arxiv_id": "quant-ph/0511269",
"authors": [
"Xiao-yu Chen"
],
"categories": [
"quant-ph"
],
"title": "Distortion operator and Entanglement Information Rate Distortion of Quantum Gaussian Source",
"url": "https://arxiv.org/abs/quant-ph/0511269"
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