Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Device-independent lower bounds on the conditional von Neumann entropy   The rates of several device-independent (DI) protocols, including quantum
key-distribution (QKD) and randomness expansion (RE), can be computed via an
optimization of the conditional von Neumann entropy over a particular class of
quantum states. In this work we introduce a numerical method to compute lower
bounds on such rates. We derive a sequence of optimization problems that
converge to the conditional von Neumann entropy of systems defined on general
separable Hilbert spaces. Using the Navascu\'es-Pironio-Ac\'in hierarchy we can
then relax these problems to semidefinite programs, giving a computationally
tractable method to compute lower bounds on the rates of DI protocols. Applying
our method to compute the rates of DI-RE and DI-QKD protocols we find
substantial improvements over all previous numerical techniques, demonstrating
significantly higher rates for both DI-RE and DI-QKD. In particular, for DI-QKD
we show a new minimal detection efficiency threshold which is within the realm
of current capabilities. Moreover, we demonstrate that our method is capable of
converging rapidly by recovering instances of known tight analytical bounds.
Finally, we note that our method is compatible with the entropy accumulation
theorem and can thus be used to compute rates of finite round protocols and
subsequently prove their security.

27
The categories of this paper are: comp-gas
1
The categories of this paper are: cs
25
The categories of this paper are: patt-sol
10
The categories of this paper are: q-bio
22
The categories of this paper are: chao-dyn
32
The categories of this paper are: atom-ph
9
The categories of this paper are: nlin
23
The categories of this paper are: solv-int
17
The categories of this paper are: q-fin
5
The categories of this paper are: gr-qc
37
The categories of this paper are: supr-con
7
The categories of this paper are: hep-th
14
The categories of this paper are: math-ph
28
The categories of this paper are: alg-geom
21
The categories of this paper are: adap-org
36
The categories of this paper are: cmp-lg