Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The modified trace distance of coherence is constant on most pure states   Recently, the much-used trace distance of coherence was shown to not be a
proper measure of coherence, so a modification of it was proposed. We derive an
explicit formula for this modified trace distance of coherence on pure states.
Our formula shows that, despite satisfying the axioms of proper coherence
measures, it is likely not a good measure to use, since it is maximal (equal to
1) on all except for an exponentially-small (in the dimension of the space)
fraction of pure states.

12
The categories of this paper are: nucl-th
16
The categories of this paper are: stat
20
The categories of this paper are: acc-phys
34
The categories of this paper are: chem-ph
26
The categories of this paper are: bayes-an
9
The categories of this paper are: nlin
23
The categories of this paper are: solv-int
4
The categories of this paper are: cond-mat
2
The categories of this paper are: math
19
The categories of this paper are: eess
10
The categories of this paper are: q-bio
27
The categories of this paper are: comp-gas
7
The categories of this paper are: hep-th
25
The categories of this paper are: patt-sol
17
The categories of this paper are: q-fin
3
The categories of this paper are: physics