Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Remedying the strong monotonicity of the coherence measure in terms of
  the Tsallis relative $\alpha$ entropy   Coherence is the most fundamental quantum feature of the nonclassical
systems. The understanding of coherence within the resource theory has been
attracting increasing interest among which the quantification of coherence is
an essential ingredient. A satisfactory measure should meet certain standard
criteria. It seems that the most crucial criterion should be the strong
monotonicity, that is, average coherence doesn't increase under the
(sub-selective) incoherent operations. Recently, the Tsallis relative $\alpha $
entropy [A. E. Rastegin, Phys. Rev. A \textbf{93}, 032136 (2016)] has been
tried to quantify the coherence. But it was shown to violate the strong
monotonicity, even though it can unambiguously distinguish the coherent and the
incoherent states with the monotonicity. Here we establish a family of
coherence quantifiers which are closely related to the Tsallis relative $\alpha
$ entropy. It proves that this family of quantifiers satisfy all the standard
criteria and particularly cover several typical coherence measures.

28
The categories of this paper are: alg-geom
15
The categories of this paper are: nucl-ex
23
The categories of this paper are: solv-int
11
The categories of this paper are: hep-lat
4
The categories of this paper are: cond-mat
7
The categories of this paper are: hep-th
5
The categories of this paper are: gr-qc
33
The categories of this paper are: plasm-ph
0
The categories of this paper are: hep-ph
20
The categories of this paper are: acc-phys
36
The categories of this paper are: cmp-lg
14
The categories of this paper are: math-ph
12
The categories of this paper are: nucl-th
29
The categories of this paper are: funct-an
8
The categories of this paper are: hep-ex
17
The categories of this paper are: q-fin