dorsal/arxiv
View SchemaA summary on two new algorithms for Grover's unsorted database search problem
| Authors | Bin Shang |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0603210 |
| URL | https://arxiv.org/abs/quant-ph/0603210 |
Abstract
In this summary we discuss two new algorithms for Grover's unsorted database search problem that claimed to have reached exponential speedup over Grover's original algorithm. One is in the quantum setting with "power queries" that allow for exponential reduction in the number of queries over Grover's original algorithm with "bit queries". The other is to use "dubit queries" on a duality computer - a new computing model uses a quantum system's wave-particle duality, which is able to achieve even greater computing power and better capability than existent quantum computers we have been discussing. We discuss the shortages and difficulties of both schemes as well.
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"abstract": "In this summary we discuss two new algorithms for Grover\u0027s unsorted database\nsearch problem that claimed to have reached exponential speedup over Grover\u0027s\noriginal algorithm. One is in the quantum setting with \"power queries\" that\nallow for exponential reduction in the number of queries over Grover\u0027s original\nalgorithm with \"bit queries\". The other is to use \"dubit queries\" on a duality\ncomputer - a new computing model uses a quantum system\u0027s wave-particle duality,\nwhich is able to achieve even greater computing power and better capability\nthan existent quantum computers we have been discussing. We discuss the\nshortages and difficulties of both schemes as well.",
"arxiv_id": "quant-ph/0603210",
"authors": [
"Bin Shang"
],
"categories": [
"quant-ph"
],
"title": "A summary on two new algorithms for Grover\u0027s unsorted database search problem",
"url": "https://arxiv.org/abs/quant-ph/0603210"
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