Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Correlation between resource-generating capacities of quantum gates   We analyze the optimal product basis for generating the maximum relative
entropy of quantum coherence by an arbitrary gate on a two-qubit system. The
optimal basis is not unique, and the high quantum coherence generating gates
are also typically high entanglement generating ones and vice versa. However,
the profile of the relative frequencies of Haar random unitaries generating
different amounts of entanglement for a fixed amount of quantum coherence is
different from the one in which the roles of entanglement and quantum coherence
are reversed, although both follow the beta distribution.

28
The categories of this paper are: alg-geom
3
The categories of this paper are: physics
23
The categories of this paper are: solv-int
14
The categories of this paper are: math-ph
32
The categories of this paper are: atom-ph
34
The categories of this paper are: chem-ph
18
The categories of this paper are: econ
31
The categories of this paper are: ao-sci
21
The categories of this paper are: adap-org
25
The categories of this paper are: patt-sol
24
The categories of this paper are: dg-ga
12
The categories of this paper are: nucl-th
37
The categories of this paper are: supr-con
9
The categories of this paper are: nlin
5
The categories of this paper are: gr-qc
20
The categories of this paper are: acc-phys