Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Relation Between Catalyst-assisted Entanglement Transformation and
  Multiple-copy Transformation   We show that in some cases, catalyst-assisted entanglement transformation
cannot be implemented by multiple-copy transformation for pure states. This
fact, together with the result we obtained in [R. Y. Duan, Y. Feng, X. Li, and
M. S. Ying, Phys. Rev. A 71, 042319 (2005)] that the latter can be completely
implemented by the former, indicates that catalyst-assisted transformation is
strictly more powerful than multiple-copy transformation. For purely
probabilistic setting we find, however, these two kinds of transformations are
geometrically equivalent in the sense that the sets of pure states which can be
converted into a given pure state with maximal probabilities not less than a
given value have the same closure, no matter catalyst-assisted transformation
or multiple-copy transformation is used.

22
The categories of this paper are: chao-dyn
37
The categories of this paper are: supr-con
14
The categories of this paper are: math-ph
29
The categories of this paper are: funct-an
5
The categories of this paper are: gr-qc
33
The categories of this paper are: plasm-ph
21
The categories of this paper are: adap-org
36
The categories of this paper are: cmp-lg
27
The categories of this paper are: comp-gas
18
The categories of this paper are: econ
30
The categories of this paper are: q-alg
6
The categories of this paper are: astro-ph
28
The categories of this paper are: alg-geom
31
The categories of this paper are: ao-sci
34
The categories of this paper are: chem-ph
16
The categories of this paper are: stat