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A Fast Quantum Mechanical Algorithm for Database Search (1996)  (Make Corrections)  (210 citations)
Lov K. Grover



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Abstract: ed Problem Let a system have N = 2 n states which are labelled S 1 ,S 2 ,...S N . These 2 n states are represented as n bit strings. Let there be a unique state, say S n , that satisfies the condition C(S n ) = 1, whereas for all other states S, C(S) = 0 (assume that for any state S, the condition C(S) can be evaluated in unit time). The problem is to identify the state S n . 3. Algorithm (i) Initialize the system to the distribution: , i.e. there is the same amplitude to be in each of... (Update)

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BibTeX entry:   (Update)

L. K. Grover, A fast quantum mechanical algorithm for database search, Proceedings of the Twenty-Eighth Annual ACM Symposium on Theory of Computing, 212-219, Philadelphia, PA, (May, 1996). http://citeseer.ist.psu.edu/grover96fast.html   More

@inproceedings{ grover96fast,
    author = "Lov K. Grover",
    title = "A fast quantum mechanical algorithm for database search",
    pages = "212--219",
    year = "1996",
    url = "citeseer.ist.psu.edu/grover96fast.html" }
Citations (may not include all citations):
173   Quantum Complexity Theory - Bernstein, Vazirani - 1993  ACM   DBLP
168   Algorithms for quantum computation: discrete logarithms and .. - Shor - 1994  DBLP
163   NP is as easy as detecting unique solutions (context) - Valiant, Vazirani - 1986  ACM   DBLP
144   the power of quantum computation - Simon - 1994
126   Rapid solution of problems by quantum computation (context) - Deutsch, Jozsa - 1992  ACM
118   the Church-Turing principle and the universal quantum comput.. (context) - Deutsch, Theory - 1985
106   Matching is as easy as matrix inversion (context) - Mulmuley, Vazirani et al. - 1987  ACM   DBLP
102   Strengths and weaknesses of quantum computing - Bennett, Bernstein et al.  ACM   DBLP
85   Quantum circuit complexity - Yao - 1993  DBLP
73   Tight bounds on quantum searching - Boyer, Brassard et al. - 1996  ACM
36   Oracle quantum computing - Berthiaume, Brassard - 1994
12   A quantum algorithm for finding the minimum - Durr, Hoyer
11   The computer as a physical system: A microscopic quantum mec.. (context) - Benioff - 1980
7   Quantum mechanical interaction free measurements (context) - Elitzur, Vaidman - 1993
7   A fast quantum mechanical algorithm for estimating the media.. (context) - Grover
4   Quantum seeing in the dark (context) - Kwiat, Weinfurter et al. - 1996



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