Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Reliable Entanglement Verification   Any experiment attempting to verify the presence of entanglement in a
physical system can only generate a finite amount of data. The statement that
entanglement was present in the system can thus never be issued with certainty,
requiring instead a statistical analysis of the data. Because entanglement
plays a central role in the performance of quantum devices, it is crucial to
make statistical claims in entanglement verification experiments that are
reliable and have a clear interpretation. In this work, we apply recent results
by M. Christandl and R. Renner to construct a reliable entanglement
verification procedure based on the concept of confidence regions. The
statements made do not require the specification of a prior distribution, the
assumption of independent measurements nor the assumption of an independent and
identically distributed (i.i.d.) source of states. Moreover, we develop
numerical tools that are necessary to employ this approach in practice,
rendering the procedure ready to be applied to current experiments. We
demonstrate this technique by analyzing the data of a photonic experiment
generating two-photon states whose entanglement is verified with the use of an
accessible nonlinear witness.

20
The categories of this paper are: acc-phys
1
The categories of this paper are: cs
23
The categories of this paper are: solv-int
2
The categories of this paper are: math
27
The categories of this paper are: comp-gas
33
The categories of this paper are: plasm-ph
8
The categories of this paper are: hep-ex
31
The categories of this paper are: ao-sci
37
The categories of this paper are: supr-con
16
The categories of this paper are: stat
21
The categories of this paper are: adap-org
22
The categories of this paper are: chao-dyn
14
The categories of this paper are: math-ph
4
The categories of this paper are: cond-mat
32
The categories of this paper are: atom-ph
17
The categories of this paper are: q-fin