dorsal/arxiv
View SchemaQuantum Color-Coding Is Better
| Authors | Joshua Von Korff, Julia Kempe |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0405086 |
| URL | https://arxiv.org/abs/quant-ph/0405086 |
| Journal | Phys. Rev. Lett., Vol. 93 (26), 260502 (2004); new title "Quantum Advantage in Transmitting a Permutation" |
Abstract
We describe a quantum scheme to ``color-code'' a set of objects in order to record which one is which. In the classical case, N distinct colors are required to color-code N objects. We show that in the quantum case, only N/e distinct ``colors'' are required, where e = 2.71828 . . . If the number of colors is less than optimal, the objects may still be correctly distinguished with some success probability less than 1. We show that the success probability of the quantum scheme is better than the corresponding classical one and is information-theoretically optimal.
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"abstract": "We describe a quantum scheme to ``color-code\u0027\u0027 a set of objects in order to\nrecord which one is which. In the classical case, N distinct colors are\nrequired to color-code N objects. We show that in the quantum case, only N/e\ndistinct ``colors\u0027\u0027 are required, where e = 2.71828 . . . If the number of\ncolors is less than optimal, the objects may still be correctly distinguished\nwith some success probability less than 1. We show that the success probability\nof the quantum scheme is better than the corresponding classical one and is\ninformation-theoretically optimal.",
"arxiv_id": "quant-ph/0405086",
"authors": [
"Joshua Von Korff",
"Julia Kempe"
],
"categories": [
"quant-ph"
],
"journal_ref": "Phys. Rev. Lett., Vol. 93 (26), 260502 (2004); new title \"Quantum\n Advantage in Transmitting a Permutation\"",
"title": "Quantum Color-Coding Is Better",
"url": "https://arxiv.org/abs/quant-ph/0405086"
},
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