dorsal/arxiv
View SchemaEntanglement required in achieving entanglement-assisted channel capacities
| Authors | Garry Bowen |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0205117 |
| URL | https://arxiv.org/abs/quant-ph/0205117 |
| DOI | 10.1103/PhysRevA.66.052313 |
| Journal | Phys. Rev. A 66, 052313 (2002) |
Abstract
Entanglement shared between the two ends of a quantum communication channel has been shown to be a useful resource in increasing both the quantum and classical capacities for these channels. The entanglement-assisted capacities were derived assuming an unlimited amount of shared entanglement per channel use. In this paper, bounds are derived on the minimum amount of entanglement required per use of a channel, in order to asymptotically achieve the capacity. This is achieved by introducing a class of entanglement-assisted quantum codes. Codes for classes of qubit channels are shown to achieve the quantum entanglement-assisted channel capacity when an amount of shared entanglement per channel given by, E = 1 - Q_E, is provided. It is also shown that for very noisy channels, as the capacities become small, the amount of required entanglement converges for the classical and quantum capacities.
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"abstract": "Entanglement shared between the two ends of a quantum communication channel\nhas been shown to be a useful resource in increasing both the quantum and\nclassical capacities for these channels. The entanglement-assisted capacities\nwere derived assuming an unlimited amount of shared entanglement per channel\nuse. In this paper, bounds are derived on the minimum amount of entanglement\nrequired per use of a channel, in order to asymptotically achieve the capacity.\nThis is achieved by introducing a class of entanglement-assisted quantum codes.\nCodes for classes of qubit channels are shown to achieve the quantum\nentanglement-assisted channel capacity when an amount of shared entanglement\nper channel given by, E = 1 - Q_E, is provided. It is also shown that for very\nnoisy channels, as the capacities become small, the amount of required\nentanglement converges for the classical and quantum capacities.",
"arxiv_id": "quant-ph/0205117",
"authors": [
"Garry Bowen"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.66.052313",
"journal_ref": "Phys. Rev. A 66, 052313 (2002)",
"title": "Entanglement required in achieving entanglement-assisted channel capacities",
"url": "https://arxiv.org/abs/quant-ph/0205117"
},
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