dorsal/arxiv
View SchemaNonlocality improves Deutsch algorithm
| Authors | Koji Nagata, Sangkyung Lee, Jaewook Ahn |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0703132 |
| URL | https://arxiv.org/abs/quant-ph/0703132 |
| License | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ |
Abstract
Recently, [{arXiv:0810.3134}] is accepted and published. We show that the Bell inequalities lead to a new type of linear-optical Deutsch algorithms. We have considered a use of entangled photon pairs to determine simultaneously and probabilistically two unknown functions. The usual Deutsch algorithm determines one unknown function and exhibits a two to one speed up in a certain computation on a quantum computer rather than on a classical computer. We found that the violation of Bell locality in the Hilbert space formalism of quantum theory predicts that the proposed {\it probabilistic} Deutsch algorithm for computing two unknown functions exhibits at least a $2\sqrt{2}(\simeq 2.83)$ to one speed up.
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"date_created": "2026-03-02T18:02:34.364000Z",
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"abstract": "Recently, [{arXiv:0810.3134}] is accepted and published. We show that the\nBell inequalities lead to a new type of linear-optical Deutsch algorithms. We\nhave considered a use of entangled photon pairs to determine simultaneously and\nprobabilistically two unknown functions. The usual Deutsch algorithm determines\none unknown function and exhibits a two to one speed up in a certain\ncomputation on a quantum computer rather than on a classical computer. We found\nthat the violation of Bell locality in the Hilbert space formalism of quantum\ntheory predicts that the proposed {\\it probabilistic} Deutsch algorithm for\ncomputing two unknown functions exhibits at least a $2\\sqrt{2}(\\simeq 2.83)$ to\none speed up.",
"arxiv_id": "quant-ph/0703132",
"authors": [
"Koji Nagata",
"Sangkyung Lee",
"Jaewook Ahn"
],
"categories": [
"quant-ph"
],
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
"title": "Nonlocality improves Deutsch algorithm",
"url": "https://arxiv.org/abs/quant-ph/0703132"
},
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