Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Generalized Quantum Search Hamiltonian   There are hamiltonians that solve a search problem of finding one of $N$
items in $O(\sqrt{N})$ steps. They are hamiltonians to describe an oscillation
between two states. In this paper we propose a generalized search hamiltonian,
$H_{g}$. Then the known search hamiltonians become special cases of $H_{g}$.
  From the generalized search hamiltonian, we present remarkable results that
searching with 100% is subject only to the phase factor in $H_{g}$ and
independent to the number of states or initialization.

19
The categories of this paper are: eess
12
The categories of this paper are: nucl-th
0
The categories of this paper are: hep-ph
2
The categories of this paper are: math
11
The categories of this paper are: hep-lat
22
The categories of this paper are: chao-dyn
8
The categories of this paper are: hep-ex
15
The categories of this paper are: nucl-ex
7
The categories of this paper are: hep-th
24
The categories of this paper are: dg-ga
4
The categories of this paper are: cond-mat
37
The categories of this paper are: supr-con
33
The categories of this paper are: plasm-ph
28
The categories of this paper are: alg-geom
30
The categories of this paper are: q-alg
10
The categories of this paper are: q-bio