dorsal/arxiv
View SchemaCountinuous Quantum Hidden Subgroup Algorithms
| Authors | Samuel J. Lomonaco Jr, Louis H. Kauffman |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0304084 |
| URL | https://arxiv.org/abs/quant-ph/0304084 |
| DOI | 10.1117/12.487763 |
Abstract
In this paper we show how to construct two continuous variable and one continuous functional quantum hidden subgroup (QHS) algorithms. These are respectively quantum algorithms on the additive group of reals R, the additive group R/Z of the reals R mod 1, i.e., the circle, and the additive group Paths of L^2 paths x:[0,1]-->R^n in real n-space R^n. Also included is a curious discrete QHS algorithm which is dual to Shor's algorithm.
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"abstract": "In this paper we show how to construct two continuous variable and one\ncontinuous functional quantum hidden subgroup (QHS) algorithms. These are\nrespectively quantum algorithms on the additive group of reals R, the additive\ngroup R/Z of the reals R mod 1, i.e., the circle, and the additive group Paths\nof L^2 paths x:[0,1]--\u003eR^n in real n-space R^n. Also included is a curious\ndiscrete QHS algorithm which is dual to Shor\u0027s algorithm.",
"arxiv_id": "quant-ph/0304084",
"authors": [
"Samuel J. Lomonaco Jr",
"Louis H. Kauffman"
],
"categories": [
"quant-ph"
],
"doi": "10.1117/12.487763",
"title": "Countinuous Quantum Hidden Subgroup Algorithms",
"url": "https://arxiv.org/abs/quant-ph/0304084"
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