dorsal/arxiv
View SchemaSending quantum entanglement through noisy channels
| Authors | Benjamin Schumacher |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9604023 |
| URL | https://arxiv.org/abs/quant-ph/9604023 |
Abstract
This paper addresses some general questions of quantum information theory arising from the transmission of quantum entanglement through (possibly noisy) quantum channels. A pure entangled state is prepared of a pair of systems $R$ and $Q$, after which $Q$ is subjected to a dynamical evolution given by the superoperator $\superop^{Q}$. Two interesting quantities can be defined for this process: the entanglement fidelity $F_{e}$ and the entropy production $S_{e}$. It turns out that neither of these quantities depends in any way on the system $R$, but only on the initial state and dynamical evolution of $Q$. $F_{e}$ and $S_{e}$ are related to various other fidelities and entropies, and are connected by an inequality reminiscent of the Fano inequality of classical information theory. Some insight can be gained from these techniques into the security of quantum cryptographic protocols and the nature of quantum error-correcting codes.
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"abstract": "This paper addresses some general questions of quantum information theory\narising from the transmission of quantum entanglement through (possibly noisy)\nquantum channels. A pure entangled state is prepared of a pair of systems $R$\nand $Q$, after which $Q$ is subjected to a dynamical evolution given by the\nsuperoperator $\\superop^{Q}$. Two interesting quantities can be defined for\nthis process: the entanglement fidelity $F_{e}$ and the entropy production\n$S_{e}$. It turns out that neither of these quantities depends in any way on\nthe system $R$, but only on the initial state and dynamical evolution of $Q$.\n$F_{e}$ and $S_{e}$ are related to various other fidelities and entropies, and\nare connected by an inequality reminiscent of the Fano inequality of classical\ninformation theory. Some insight can be gained from these techniques into the\nsecurity of quantum cryptographic protocols and the nature of quantum\nerror-correcting codes.",
"arxiv_id": "quant-ph/9604023",
"authors": [
"Benjamin Schumacher"
],
"categories": [
"quant-ph"
],
"title": "Sending quantum entanglement through noisy channels",
"url": "https://arxiv.org/abs/quant-ph/9604023"
},
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