Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quantum Computations and Images Recognition   The using of quantum parallelism is often connected with consideration of
quantum system with huge dimension of space of states. The n-qubit register can
be described by complex vector with 2^n components (it belongs to n'th tensor
power of qubit spaces). For example, for algorithm of factorization of numbers
by quantum computer n can be about a few hundreds for some realistic
applications for cryptography. The applications described further are used some
other properties of quantum systems and they do not demand such huge number of
states.
  The term "images recognition" is used here for some broad class of problems.
For example, we have a set of some objects V_i and function of "likelihood":
  F(V,W) < F(V,V) = 1
  If we have some "noisy" or "distorted" image W, we can say that recognition
of W is V_i, if F(W,V_i) is near 1 for some V_i.

34
The categories of this paper are: chem-ph
3
The categories of this paper are: physics
14
The categories of this paper are: math-ph
6
The categories of this paper are: astro-ph
22
The categories of this paper are: chao-dyn
15
The categories of this paper are: nucl-ex
21
The categories of this paper are: adap-org
0
The categories of this paper are: hep-ph
36
The categories of this paper are: cmp-lg
32
The categories of this paper are: atom-ph
16
The categories of this paper are: stat
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
9
The categories of this paper are: nlin
5
The categories of this paper are: gr-qc