dorsal/arxiv
View SchemaOn Quantum Communication Channels with Constrained Inputs
| Authors | A. S. Holevo |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9705054 |
| URL | https://arxiv.org/abs/quant-ph/9705054 |
Abstract
The purpose of this work is to extend the result of previous papers quant-ph/9611023, quant-ph/9703013 to quantum channels with additive constraints onto the input signal, by showing that the capacity of such channel is equal to the supremum of the entropy bound with respect to all apriori distributions satisfying the constraint. We also make an extension to channels with continuous alphabet. As an application we prove the formula for the capacity of the quantum Gaussian channel with constrained energy of the signal, establishing the asymptotic equivalence of this channel to the semiclassical photon channel. We also study the lower bounds for the reliability function of the pure-state Gaussian channel.
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"abstract": "The purpose of this work is to extend the result of previous papers\nquant-ph/9611023, quant-ph/9703013 to quantum channels with additive\nconstraints onto the input signal, by showing that the capacity of such channel\nis equal to the supremum of the entropy bound with respect to all apriori\ndistributions satisfying the constraint. We also make an extension to channels\nwith continuous alphabet. As an application we prove the formula for the\ncapacity of the quantum Gaussian channel with constrained energy of the signal,\nestablishing the asymptotic equivalence of this channel to the semiclassical\nphoton channel. We also study the lower bounds for the reliability function of\nthe pure-state Gaussian channel.",
"arxiv_id": "quant-ph/9705054",
"authors": [
"A. S. Holevo"
],
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"quant-ph"
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"title": "On Quantum Communication Channels with Constrained Inputs",
"url": "https://arxiv.org/abs/quant-ph/9705054"
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