dorsal/arxiv
View SchemaQuantum Zero-Error Algorithms Cannot be Composed
| Authors | Harry Buhrman, Ronald de Wolf |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0211029 |
| URL | https://arxiv.org/abs/quant-ph/0211029 |
| Journal | Information Processing Letters, 87(2):79-84, 2003 |
Abstract
We exhibit two black-box problems, both of which have an efficient quantum algorithm with zero-error, yet whose composition does not have an efficient quantum algorithm with zero-error. This shows that quantum zero-error algorithms cannot be composed. In oracle terms, we give a relativized world where ZQP^{ZQP}\=ZQP, while classically we always have ZPP^{ZPP}=ZPP.
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"abstract": "We exhibit two black-box problems, both of which have an efficient quantum\nalgorithm with zero-error, yet whose composition does not have an efficient\nquantum algorithm with zero-error. This shows that quantum zero-error\nalgorithms cannot be composed. In oracle terms, we give a relativized world\nwhere ZQP^{ZQP}\\=ZQP, while classically we always have ZPP^{ZPP}=ZPP.",
"arxiv_id": "quant-ph/0211029",
"authors": [
"Harry Buhrman",
"Ronald de Wolf"
],
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"quant-ph",
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"journal_ref": "Information Processing Letters, 87(2):79-84, 2003",
"title": "Quantum Zero-Error Algorithms Cannot be Composed",
"url": "https://arxiv.org/abs/quant-ph/0211029"
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