Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Partial coherence and quantum correlation with fidelity and affinity
  distances   A fundamental task in any physical theory is to quantify certain physical
quantity in a meaningful way. In this paper we show that both fidelity distance
and affinity distance satisfy the strong contractibility, and the corresponding
resource quantifiers can be used to characterize a large class of resource
theories. Under two assumptions, namely, convexity of "free states" and closure
of free states under "selective free operations", our general framework of
resource theory includes quantum resource theories of entanglement, coherence,
partial coherence and superposition. In partial coherence theory, we show that
fidelity partial coherence of a bipartite state is equal to the minimal error
probability of a mixed quantum state discrimination (QSD) task and vice versa,
which complements the main result in [Xiong and Wu, J. Phys. A: Math. Theor.
51, 414005 (2018)]. We also compute the analytic expression of fidelity partial
coherence for $(2,n)$ bipartite X-states. At last, we study the correlated
coherence in the framework of partial coherence theory. We show that partial
coherence of a bipartite state, with respect to the eigenbasis of a subsystem,
is actually a measure of quantum correlation.

3
The categories of this paper are: physics
31
The categories of this paper are: ao-sci
29
The categories of this paper are: funct-an
5
The categories of this paper are: gr-qc
32
The categories of this paper are: atom-ph
17
The categories of this paper are: q-fin
1
The categories of this paper are: cs
0
The categories of this paper are: hep-ph
26
The categories of this paper are: bayes-an
19
The categories of this paper are: eess
6
The categories of this paper are: astro-ph
24
The categories of this paper are: dg-ga
37
The categories of this paper are: supr-con
14
The categories of this paper are: math-ph
30
The categories of this paper are: q-alg
7
The categories of this paper are: hep-th