Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Lower bound on the relative error of mixed-state cloning and related
  operations   We extend the concept of the relative error to mixed-state cloning and
related physical operations, in which the ancilla contains some a priori
information about the input state. The lower bound on the relative error is
obtained. It is shown that this result contributes to the stronger no-cloning
theorem.

7
The categories of this paper are: hep-th
29
The categories of this paper are: funct-an
6
The categories of this paper are: astro-ph
35
The categories of this paper are: mtrl-th
28
The categories of this paper are: alg-geom
18
The categories of this paper are: econ
0
The categories of this paper are: hep-ph
33
The categories of this paper are: plasm-ph
22
The categories of this paper are: chao-dyn
14
The categories of this paper are: math-ph
15
The categories of this paper are: nucl-ex
26
The categories of this paper are: bayes-an
9
The categories of this paper are: nlin
24
The categories of this paper are: dg-ga
31
The categories of this paper are: ao-sci
10
The categories of this paper are: q-bio