Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: State discrimination with error margin and its locality   There are two common settings in a quantum-state discrimination problem. One
is minimum-error discrimination where a wrong guess (error) is allowed and the
discrimination success probability is maximized. The other is unambiguous
discrimination where errors are not allowed but the inconclusive result "I
don't know" is possible. We investigate discrimination problem with a finite
margin imposed on the error probability. The two common settings correspond to
the error margins 1 and 0. For arbitrary error margin, we determine the optimal
discrimination probability for two pure states with equal occurrence
probabilities. We also consider the case where the states to be discriminated
are multipartite, and show that the optimal discrimination probability can be
achieved by local operations and classical communication.

10
The categories of this paper are: q-bio
2
The categories of this paper are: math
23
The categories of this paper are: solv-int
6
The categories of this paper are: astro-ph
19
The categories of this paper are: eess
34
The categories of this paper are: chem-ph
27
The categories of this paper are: comp-gas
12
The categories of this paper are: nucl-th
21
The categories of this paper are: adap-org
28
The categories of this paper are: alg-geom
16
The categories of this paper are: stat
18
The categories of this paper are: econ
7
The categories of this paper are: hep-th
32
The categories of this paper are: atom-ph
30
The categories of this paper are: q-alg
4
The categories of this paper are: cond-mat