Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Initializing the Amplitude Distribution of a Quantum State   To date, quantum computational algorithms have operated on a superposition of
all basis states of a quantum system. Typically, this is because it is assumed
that some function f is known and implementable as a unitary evolution.
However, what if only some points of the function f are known? It then becomes
important to be able to encode only the knowledge that we have about f. This
paper presents an algorithm that requires a polynomial number of elementary
operations for initializing a quantum system to represent only the m known
points of a function f.

10
The categories of this paper are: q-bio
17
The categories of this paper are: q-fin
37
The categories of this paper are: supr-con
35
The categories of this paper are: mtrl-th
2
The categories of this paper are: math
22
The categories of this paper are: chao-dyn
30
The categories of this paper are: q-alg
29
The categories of this paper are: funct-an
25
The categories of this paper are: patt-sol
1
The categories of this paper are: cs
3
The categories of this paper are: physics
23
The categories of this paper are: solv-int
36
The categories of this paper are: cmp-lg
14
The categories of this paper are: math-ph
33
The categories of this paper are: plasm-ph
0
The categories of this paper are: hep-ph