dorsal/arxiv
View SchemaAn Algorithmic Argument for Nonadaptive Query Complexity Lower Bounds on Advised Quantum Computation
| Authors | Harumichi Nishimura, Tomoyuki Yamakami |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0312003 |
| URL | https://arxiv.org/abs/quant-ph/0312003 |
| DOI | 10.1007/978-3-540-28629-5_65 |
| Journal | Proceedings of the 29th International Symposium on Mathematical Foundations of Computer Science (MFCS2004), Lecture Notes in Computer Science 3153, pp. 827-838, 2004 |
Abstract
This paper employs a powerful argument, called an algorithmic argument, to prove lower bounds of the quantum query complexity of a multiple-block ordered search problem in which, given a block number i, we are to find a location of a target keyword in an ordered list of the i-th block. Apart from much studied polynomial and adversary methods for quantum query complexity lower bounds, our argument shows that the multiple-block ordered search needs a large number of nonadaptive oracle queries on a black-box model of quantum computation that is also supplemented with advice. Our argument is also applied to the notions of computational complexity theory: quantum truth-table reducibility and quantum truth-table autoreducibility.
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"abstract": "This paper employs a powerful argument, called an algorithmic argument, to\nprove lower bounds of the quantum query complexity of a multiple-block ordered\nsearch problem in which, given a block number i, we are to find a location of a\ntarget keyword in an ordered list of the i-th block. Apart from much studied\npolynomial and adversary methods for quantum query complexity lower bounds, our\nargument shows that the multiple-block ordered search needs a large number of\nnonadaptive oracle queries on a black-box model of quantum computation that is\nalso supplemented with advice. Our argument is also applied to the notions of\ncomputational complexity theory: quantum truth-table reducibility and quantum\ntruth-table autoreducibility.",
"arxiv_id": "quant-ph/0312003",
"authors": [
"Harumichi Nishimura",
"Tomoyuki Yamakami"
],
"categories": [
"quant-ph",
"cs.CC"
],
"doi": "10.1007/978-3-540-28629-5_65",
"journal_ref": "Proceedings of the 29th International Symposium on Mathematical\n Foundations of Computer Science (MFCS2004), Lecture Notes in Computer Science\n 3153, pp. 827-838, 2004",
"title": "An Algorithmic Argument for Nonadaptive Query Complexity Lower Bounds on Advised Quantum Computation",
"url": "https://arxiv.org/abs/quant-ph/0312003"
},
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