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Quantum Physics

arXiv:quant-ph/9809029 (quant-ph)
[Submitted on 10 Sep 1998 (v1), last revised 13 Apr 1999 (this version, v3)]

Title:How fast can a quantum computer search?

Authors:Lov K. Grover (Bell Labs, Murray Hill, NJ)
View a PDF of the paper titled How fast can a quantum computer search?, by Lov K. Grover (Bell Labs and 2 other authors
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Abstract: This paper gives a simple proof of why a quantum computer, despite being in all possible states simultaneously, needs at least 0.707 sqrt(N) queries to retrieve a desired item from an unsorted list of items. The proof is refined to show that a quantum computer would need at least 0.785 sqrt(N) queries. The quantum search algorithm needs precisely this many queries.
Comments: Postscript, 7 pages. This proof tries to give a simple argument why the search algorithm is optimal (This paper was originally put out on quant-ph on September 9, 1998, the present version has several important improvements)
Subjects: Quantum Physics (quant-ph)
Cite as: arXiv:quant-ph/9809029
  (or arXiv:quant-ph/9809029v3 for this version)
  https://doi.org/10.48550/arXiv.quant-ph/9809029
arXiv-issued DOI via DataCite

Submission history

From: Lov K. Grover [view email]
[v1] Thu, 10 Sep 1998 17:43:29 UTC (48 KB)
[v2] Wed, 23 Sep 1998 16:41:53 UTC (48 KB)
[v3] Tue, 13 Apr 1999 21:30:58 UTC (94 KB)
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