dorsal/arxiv
View SchemaClassical capacity of fermionic product channels
| Authors | Sergey Bravyi |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0507282 |
| URL | https://arxiv.org/abs/quant-ph/0507282 |
Abstract
We study multi-qubit quantum channels that can be represented as a product of one-mode fermionic attenuation channels. An explicit formula for the classical capacity $C_1$ and for the minimum output entropy $S_{min}$ of these channels is proposed. We compute $S_{min}$ analytically for any number of qubits under assumption that the minimum is achieved on a Gaussian input. Apart from that, a simple numerical method for evaluating $S_{min}$ is developed. The method is applicable to any channels that are sufficiently noisy. For fermionic product channels the proposed formula for $S_{min}$ agrees with the numerical results with a precision about $10^{-9}$.
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"date_created": "2026-03-02T18:02:19.833000Z",
"date_modified": "2026-03-02T18:02:19.833000Z",
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"abstract": "We study multi-qubit quantum channels that can be represented as a product of\none-mode fermionic attenuation channels. An explicit formula for the classical\ncapacity $C_1$ and for the minimum output entropy $S_{min}$ of these channels\nis proposed. We compute $S_{min}$ analytically for any number of qubits under\nassumption that the minimum is achieved on a Gaussian input. Apart from that, a\nsimple numerical method for evaluating $S_{min}$ is developed. The method is\napplicable to any channels that are sufficiently noisy. For fermionic product\nchannels the proposed formula for $S_{min}$ agrees with the numerical results\nwith a precision about $10^{-9}$.",
"arxiv_id": "quant-ph/0507282",
"authors": [
"Sergey Bravyi"
],
"categories": [
"quant-ph"
],
"title": "Classical capacity of fermionic product channels",
"url": "https://arxiv.org/abs/quant-ph/0507282"
},
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