Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Subadditivity of q-entropies for q>1   I prove a basic inequality for Schatten q-norms of quantum states on a
finite-dimensional bipartite Hilbert space H_1\otimes H_2: 1+||\rho||_q \ge
||\trace_1\rho||_q + ||\trace_2\rho||_q. This leads to a proof--in the finite
dimensional case--of Raggio's conjecture (G.A. Raggio, J. Math. Phys.\
\textbf{36}, 4785--4791 (1995)) that the q-entropies
S_q(\rho)=(1-\trace[\rho^q])/(q-1) are subadditive for q > 1; that is, for any
state \rho, S_q(\rho) is not greater than the sum of the S_q of its reductions,
S_q(\rho) \le S_q(\trace_1\rho)+S_q(\trace_2\rho).

27
The categories of this paper are: comp-gas
4
The categories of this paper are: cond-mat
36
The categories of this paper are: cmp-lg
33
The categories of this paper are: plasm-ph
9
The categories of this paper are: nlin
8
The categories of this paper are: hep-ex
12
The categories of this paper are: nucl-th
35
The categories of this paper are: mtrl-th
1
The categories of this paper are: cs
18
The categories of this paper are: econ
31
The categories of this paper are: ao-sci
23
The categories of this paper are: solv-int
28
The categories of this paper are: alg-geom
17
The categories of this paper are: q-fin
0
The categories of this paper are: hep-ph
20
The categories of this paper are: acc-phys