Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: One-shot entanglement distillation beyond local operations and classical
  communication   We study the task of entanglement distillation in the one-shot setting under
different classes of quantum operations which extend the set of local
operations and classical communication (LOCC). Establishing a general formalism
which allows for a straightforward comparison of their exact achievable
performance, we relate the fidelity of distillation under these classes of
operations with a family of entanglement monotones and the rates of
distillation with a class of smoothed entropic quantities based on the
hypothesis testing relative entropy. We then characterise exactly the one-shot
distillable entanglement of several classes of quantum states and reveal many
simplifications in their manipulation.
  We show in particular that the $\varepsilon$-error one-shot distillable
entanglement of any pure state is the same under all sets of operations ranging
from one-way LOCC to separability-preserving operations or operations
preserving the set of states with positive partial transpose, and can be
computed exactly as a quadratically constrained linear program. We establish
similar operational equivalences in the distillation of isotropic and maximally
correlated states, reducing the computation of the relevant quantities to
linear or semidefinite programs. We also show that all considered sets of
operations achieve the same performance in environment-assisted entanglement
distillation from any state.

17
The categories of this paper are: q-fin
36
The categories of this paper are: cmp-lg
1
The categories of this paper are: cs
9
The categories of this paper are: nlin
3
The categories of this paper are: physics
21
The categories of this paper are: adap-org
20
The categories of this paper are: acc-phys
16
The categories of this paper are: stat
25
The categories of this paper are: patt-sol
27
The categories of this paper are: comp-gas
32
The categories of this paper are: atom-ph
23
The categories of this paper are: solv-int
34
The categories of this paper are: chem-ph
24
The categories of this paper are: dg-ga
35
The categories of this paper are: mtrl-th
31
The categories of this paper are: ao-sci