Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quantifying the incompatibility of quantum measurements relative to a
  basis   Motivated by quantum resource theories, we introduce a notion of
incompatibility for quantum measurements relative to a reference basis. The
notion arises by considering states diagonal in that basis and investigating
whether probability distributions associated with different quantum
measurements can be converted into one another by probabilistic
post-processing. The induced preorder over quantum measurements is directly
related to multivariate majorization and gives rise to families of monotones,
i.e., scalar quantifiers that preserve the ordering. For the case of orthogonal
measurement we establish a quantitative connection between incompatibility,
quantum coherence and entropic uncertainty relations. We generalize the
construction to arbitrary POVM measurements and report complete families of
monotones.

22
The categories of this paper are: chao-dyn
11
The categories of this paper are: hep-lat
3
The categories of this paper are: physics
33
The categories of this paper are: plasm-ph
16
The categories of this paper are: stat
32
The categories of this paper are: atom-ph
27
The categories of this paper are: comp-gas
5
The categories of this paper are: gr-qc
36
The categories of this paper are: cmp-lg
29
The categories of this paper are: funct-an
35
The categories of this paper are: mtrl-th
17
The categories of this paper are: q-fin
7
The categories of this paper are: hep-th
15
The categories of this paper are: nucl-ex
23
The categories of this paper are: solv-int
21
The categories of this paper are: adap-org