Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Operating Characteristics for Binary Hypothesis Testing in Quantum
  Systems   Receiver operating characteristics (ROCs) are a well-established
representation of the tradeoff between detection and false alarm probabilities
in classical binary hypothesis testing. We use classical ROCs as motivation for
two types of operating characteristics for binary hypothesis testing in quantum
systems -- decision operating characteristics (QDOCs) and measurement operating
characteristics (QMOCs). Both are described in the context of a framework we
propose that encompasses the typical formulations of binary hypothesis testing
in both the classical and quantum scenarios. We interpret Helstrom's well-known
result regarding discrimination between two quantum density operators with
minimum probability of error in this framework. We also present a
generalization of previous results regarding the correspondence between
classical Parseval frames and quantum measurements. The derivation naturally
leads to a constructive procedure for generating many different measurements
besides Helstrom's optimal measurement, some standard and others non-standard,
that achieve minimum probability of error.

10
The categories of this paper are: q-bio
20
The categories of this paper are: acc-phys
21
The categories of this paper are: adap-org
5
The categories of this paper are: gr-qc
27
The categories of this paper are: comp-gas
1
The categories of this paper are: cs
37
The categories of this paper are: supr-con
8
The categories of this paper are: hep-ex
18
The categories of this paper are: econ
11
The categories of this paper are: hep-lat
4
The categories of this paper are: cond-mat
6
The categories of this paper are: astro-ph
29
The categories of this paper are: funct-an
15
The categories of this paper are: nucl-ex
31
The categories of this paper are: ao-sci
32
The categories of this paper are: atom-ph