dorsal/arxiv
View SchemaQuantum-classical correspondence in the oracle model of computation
| Authors | Antoni Wojcik Ravindra W. Chhajlany |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0506248 |
| URL | https://arxiv.org/abs/quant-ph/0506248 |
Abstract
The oracle model of computation is believed to allow a rigorous proof of quantum over classical computational superiority. Since quantum and classical oracles are essentially different, a correspondence principle is commonly implicitly used as a platform for comparison of oracle complexity. Here, we question the grounds on which this correspondence is based. Obviously, results on quantum speed-up depend on the chosen correspondence. So, we introduce the notion of genuine quantum speed-up which can serve as a tool for reliable comparison of quantum vs classical complexity, independently of the chosen correspondence principle.
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"abstract": "The oracle model of computation is believed to allow a rigorous proof of\nquantum over classical computational superiority. Since quantum and classical\noracles are essentially different, a correspondence principle is commonly\nimplicitly used as a platform for comparison of oracle complexity. Here, we\nquestion the grounds on which this correspondence is based. Obviously, results\non quantum speed-up depend on the chosen correspondence. So, we introduce the\nnotion of genuine quantum speed-up which can serve as a tool for reliable\ncomparison of quantum vs classical complexity, independently of the chosen\ncorrespondence principle.",
"arxiv_id": "quant-ph/0506248",
"authors": [
"Antoni Wojcik Ravindra W. Chhajlany"
],
"categories": [
"quant-ph"
],
"title": "Quantum-classical correspondence in the oracle model of computation",
"url": "https://arxiv.org/abs/quant-ph/0506248"
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