Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Maximal gap between local and global distinguishability of bipartite
  quantum states   We prove a tight and close-to-optimal lower bound on the effectiveness of
local quantum measurements (without classical communication) at discriminating
any two bipartite quantum states. Our result implies, for example, that any two
orthogonal quantum states of a $n_A\times n_B$ bipartite quantum system can be
discriminated via local measurements with an error probability no larger than
$\frac12 \left(1 - \frac{1}{c \min\{n_A, n_B\}} \right)$, where $1\leq c\leq
2\sqrt2$ is a universal constant, and our bound scales provably optimally with
the local dimensions $n_A,n_B$. Mathematically, this is achieved by showing
that the distinguishability norm $\|\cdot\|_{LO}$ associated with local
measurements satisfies that $\|\cdot\|_1\leq 2\sqrt2 \min\{n_A,n_B\}
\|\cdot\|_{LO}$, where $\|\cdot\|_1$ is the trace norm.

19
The categories of this paper are: eess
2
The categories of this paper are: math
4
The categories of this paper are: cond-mat
9
The categories of this paper are: nlin
23
The categories of this paper are: solv-int
28
The categories of this paper are: alg-geom
30
The categories of this paper are: q-alg
15
The categories of this paper are: nucl-ex
35
The categories of this paper are: mtrl-th
20
The categories of this paper are: acc-phys
26
The categories of this paper are: bayes-an
37
The categories of this paper are: supr-con
36
The categories of this paper are: cmp-lg
8
The categories of this paper are: hep-ex
25
The categories of this paper are: patt-sol
32
The categories of this paper are: atom-ph