Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quantifying coherence with quantum addition   Quantum addition channels have been recently introduced in the context of
deriving entropic power inequalities for finite dimensional quantum systems. We
prove a reverse entropy power equality which can be used to analytically prove
an inequality conjectured recently for arbitrary dimension and arbitrary
addition weight. We show that the relative entropic difference between the
output of such a quantum additon channel and the corresponding classical
mixture quantitatively captures the amount of coherence present in a quantum
system. This new coherence measure admits an upper bound in terms of the
relative entropy of coherence and is utilized to formulate a state-dependent
uncertainty relation for two observables. Our results may provide deep insights
to the origin of quantum coherence for mixed states that truly come from the
discrepancy between quantum addition and the classical mixture.

11
The categories of this paper are: hep-lat
34
The categories of this paper are: chem-ph
37
The categories of this paper are: supr-con
32
The categories of this paper are: atom-ph
20
The categories of this paper are: acc-phys
22
The categories of this paper are: chao-dyn
6
The categories of this paper are: astro-ph
17
The categories of this paper are: q-fin
28
The categories of this paper are: alg-geom
3
The categories of this paper are: physics
30
The categories of this paper are: q-alg
10
The categories of this paper are: q-bio
8
The categories of this paper are: hep-ex
19
The categories of this paper are: eess
21
The categories of this paper are: adap-org
23
The categories of this paper are: solv-int