scholarly journals Promised and Distributed Quantum Search

Author(s):  
Shengyu Zhang
Keyword(s):  

2021 ◽  
Vol 20 (7) ◽  
Author(s):  
Kun Zhang ◽  
Pooja Rao ◽  
Kwangmin Yu ◽  
Hyunkyung Lim ◽  
Vladimir Korepin




2020 ◽  
Vol 2 (4) ◽  
Author(s):  
Felix Thiel ◽  
Itay Mualem ◽  
Dror Meidan ◽  
Eli Barkai ◽  
David A. Kessler


2006 ◽  
Vol 5 (1) ◽  
pp. 5-10 ◽  
Author(s):  
Vladimir E. Korepin ◽  
Lov K. Grover


2011 ◽  
Vol 68 (7-8) ◽  
pp. 1208-1218 ◽  
Author(s):  
Jack Tsai ◽  
Fu-Yuen Hsiao ◽  
Yi-Ju Li ◽  
Jen-Fu Shen


2013 ◽  
Vol 15 (6) ◽  
pp. 063014 ◽  
Author(s):  
David A Meyer ◽  
Thomas G Wong




2004 ◽  
Vol 4 (3) ◽  
pp. 201-206
Author(s):  
L. Grover ◽  
T. Rudolph

Quantum search is a technique for searching $N$ possibilities for a desired target in $O(\sqrt{N})$ steps. It has been applied in the design of quantum algorithms for several structured problems. Many of these algorithms require significant amount of quantum hardware. In this paper we propose the criterion that an algorithm which requires $O(S)$ hardware should be considered significant if it produces a speedup of better than $O\left(\sqrt{S}\right)$ over a simple quantum search algorithm. This is because a speedup of $O\left(\sqrt{S}\right)$ can be trivially obtained by dividing the search space into $S$ separate parts and handing the problem to $S$ independent processors that do a quantum search (in this paper we drop all logarithmic factors when discussing time/space complexity). Known algorithms for collision and element distinctness exactly saturate the criterion.



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