Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Constant gap between conventional strategies and those based on
  C*-dynamics for self-embezzlement   We consider a bipartite transformation that we call \emph{self-embezzlement}
and use it to prove a constant gap between the capabilities of two models of
quantum information: the conventional model, where bipartite systems are
represented by tensor products of Hilbert spaces; and a natural model of
quantum information processing for abstract states on C*-algebras, where joint
systems are represented by tensor products of C*-algebras. We call this the
C*-circuit model and show that it is a special case of the commuting-operator
model (in that it can be translated into such a model). For the conventional
model, we show that there exists a constant $\epsilon_0 > 0$ such that
self-embezzlement cannot be achieved with precision parameter less than
$\epsilon_0$ (i.e., the fidelity cannot be greater than $1 - \epsilon_0$);
whereas, in the C*-circuit model---as well as in a commuting-operator
model---the precision can be $0$ (i.e., fidelity~$1$).

27
The categories of this paper are: comp-gas
5
The categories of this paper are: gr-qc
30
The categories of this paper are: q-alg
19
The categories of this paper are: eess
1
The categories of this paper are: cs
0
The categories of this paper are: hep-ph
7
The categories of this paper are: hep-th
26
The categories of this paper are: bayes-an
36
The categories of this paper are: cmp-lg
35
The categories of this paper are: mtrl-th
15
The categories of this paper are: nucl-ex
8
The categories of this paper are: hep-ex
28
The categories of this paper are: alg-geom
31
The categories of this paper are: ao-sci
16
The categories of this paper are: stat
32
The categories of this paper are: atom-ph