dorsal/arxiv
View SchemaQuantum Coding Theorem for Mixed States
| Authors | Hoi-Kwong Lo |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9504004 |
| URL | https://arxiv.org/abs/quant-ph/9504004 |
| DOI | 10.1016/0030-4018(95)00406-X |
Abstract
We prove a theorem for coding mixed-state quantum signals. For a class of coding schemes, the von Neumann entropy $S$ of the density operator describing an ensemble of mixed quantum signal states is shown to be equal to the number of spin-$1/2$ systems necessary to represent the signal faithfully. This generalizes previous works on coding pure quantum signal states and is analogous to the Shannon's noiseless coding theorem of classical information theory. We also discuss an example of a more general class of coding schemes which {\em beat} the limit set by our theorem.
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"abstract": "We prove a theorem for coding mixed-state quantum signals. For a class of\ncoding schemes, the von Neumann entropy $S$ of the density operator describing\nan ensemble of mixed quantum signal states is shown to be equal to the number\nof spin-$1/2$ systems necessary to represent the signal faithfully. This\ngeneralizes previous works on coding pure quantum signal states and is\nanalogous to the Shannon\u0027s noiseless coding theorem of classical information\ntheory. We also discuss an example of a more general class of coding schemes\nwhich {\\em beat} the limit set by our theorem.",
"arxiv_id": "quant-ph/9504004",
"authors": [
"Hoi-Kwong Lo"
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"quant-ph",
"hep-th"
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"doi": "10.1016/0030-4018(95)00406-X",
"title": "Quantum Coding Theorem for Mixed States",
"url": "https://arxiv.org/abs/quant-ph/9504004"
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