Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Modified Grover's Search Algorithm in O(M+logN)Steps   The present letter proposes a modification in the well known Grover's search
algorithm, which searches a database of $N$ unsorted items in $O(\sqrt{N/M})$
steps, where $M$ represents the number of solutions to the search problem.
Concurrency control techniques and extra registers for marking and storing the
solutions are used in the modified algorithm. This requires additional space
but it is shown that the use of extra register and marking techniques can
reduce the time complexity to $O(M+\log N)$.

27
The categories of this paper are: comp-gas
3
The categories of this paper are: physics
37
The categories of this paper are: supr-con
25
The categories of this paper are: patt-sol
8
The categories of this paper are: hep-ex
4
The categories of this paper are: cond-mat
11
The categories of this paper are: hep-lat
31
The categories of this paper are: ao-sci
22
The categories of this paper are: chao-dyn
6
The categories of this paper are: astro-ph
24
The categories of this paper are: dg-ga
28
The categories of this paper are: alg-geom
20
The categories of this paper are: acc-phys
0
The categories of this paper are: hep-ph
36
The categories of this paper are: cmp-lg
33
The categories of this paper are: plasm-ph