Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quantifying coherence in terms of the pure-state coherence   Quantifying quantum coherence is a key task in the resource theory of
coherence. Here we establish a good coherence monotone in terms of a state
conversion process, which automatically endows the coherence monotone with an
operational meaning. We show that any state can be produced from some input
pure states via the corresponding incoherent channels. It is especially found
that the coherence of a given state can be well characterized by the least
coherence of the input pure states, so a coherence monotone is established by
only effectively quantifying the input pure states. In particular, we show that
our proposed coherence monotone is the supremum of all the coherence monotones
that give the same coherence for any given pure state. Considering the
convexity, we prove that our proposed coherence measure is a subset of the
coherence measure based on the convex roof construction. As an application, we
give a concrete expression of our coherence measure by employing the geometric
coherence of a pure state. We also give a thorough analysis on the states of
qubit and finally obtain series of analytic coherence measures.

36
The categories of this paper are: cmp-lg
34
The categories of this paper are: chem-ph
6
The categories of this paper are: astro-ph
22
The categories of this paper are: chao-dyn
7
The categories of this paper are: hep-th
11
The categories of this paper are: hep-lat
37
The categories of this paper are: supr-con
15
The categories of this paper are: nucl-ex
23
The categories of this paper are: solv-int
14
The categories of this paper are: math-ph
31
The categories of this paper are: ao-sci
1
The categories of this paper are: cs
21
The categories of this paper are: adap-org
27
The categories of this paper are: comp-gas
20
The categories of this paper are: acc-phys
18
The categories of this paper are: econ