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Quantum Counting (1998)  (Make Corrections)  (30 citations)
Gilles Brassard, Peter Høyer, Alain Tapp
Lecture Notes in Computer Science



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Abstract: We study some extensions of Grover's quantum searching algorithm. First, we generalize the Grover iteration in the light of a concept called amplitude amplification. Then, we show that the quadratic speedup obtained by the quantum searching algorithm over classical brute force can still be obtained for a large family of search problems for which good classical heuristics exist. Finally, as our main result, we combine ideas from Grover's and Shor's quantum algorithms to perform approximate... (Update)

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BibTeX entry:   (Update)

G. Brassard, P. Høyer, and A. Tapp. Quantum counting. In Proceedings of 25th ICALP, volume 1443 of Lecture Notes in Computer Science, pages 820--831. Springer, 1998. quant-ph/9805082. http://citeseer.ist.psu.edu/brassard98quantum.html   More

@article{ brassard98quantum,
    author = "Gilles Brassard and Peter H{\o}yer and Alain Tapp",
    title = "Quantum Counting",
    journal = "Lecture Notes in Computer Science",
    volume = "1443",
    pages = "820+",
    year = "1998",
    url = "citeseer.ist.psu.edu/brassard98quantum.html" }
Citations (may not include all citations):
164   Polynomial-time algorithms for prime factorization and discr.. - Peter - 1997  ACM   DBLP
102   Strengths and weaknesses of quantum computing - Charles, Ethan et al. - 1997  ACM   DBLP
73   Tight bounds on quantum searching - Michel, Brassard et al. - 1996  ACM
50   Quantum algorithms revisited - Richard, Ekert et al. - 1998
48   Quantum mechanics helps in searching for a needle in a hayst.. (context) - Lov - 1997
46   An exact quantum polynomial-time algorithm for Simon's probl.. - Gilles, Hoyer - 1997  ACM   DBLP
16   A quantum jump in computer science (context) - Gilles - 1995  DBLP
8   Quantum physics and computers - Adriano - 1996
5   Quantum database searching by a single query (context) - Dong-Pyo, Kim - 1998
2   New horizons in quantum information processing (context) - Gilles - 1998  ACM   DBLP
2   Quantum computer algorithms and interferometry (context) - Michele - 1998



The graph only includes citing articles where the year of publication is known.


Documents on the same site (http://www.brics.dk/~hoyer/papers/):   More
A Quantum Algorithm for Finding the Minimum - Dürr, Høyer (1996)   (Correct)
Tight Bounds on Quantum Searching - Boyer, Brassard, Høyer, Tapp (1998)   (Correct)
An Exact Quantum Polynomial-Time Algorithm for Simon's Problem - Brassard, Høyer (1997)   (Correct)

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