Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Projective measurements under qubit quantum channels   The action of qubit channels on projective measurements on a qubit state is
used to establish an equivalence between channels and properties of generalized
measurements characterized by bias and sharpness parameters. This can be
interpreted as shifting the description of measurement dynamics from the
Schrodinger to the Heisenberg picture. In particular, unital quantum channels
are shown to induce unbiased measurements. The Markovian channels are found to
be equivalent to measurements for which sharpness is a monotonically decreasing
function of time. These results are illustrated by considering various noise
channels. Further, the effect of bias and sharpness parameters on the energy
cost of a measurement and its interplay with non-Markovianity of dynamics is
also discussed

37
The categories of this paper are: supr-con
36
The categories of this paper are: cmp-lg
3
The categories of this paper are: physics
5
The categories of this paper are: gr-qc
9
The categories of this paper are: nlin
31
The categories of this paper are: ao-sci
26
The categories of this paper are: bayes-an
14
The categories of this paper are: math-ph
35
The categories of this paper are: mtrl-th
1
The categories of this paper are: cs
11
The categories of this paper are: hep-lat
16
The categories of this paper are: stat
24
The categories of this paper are: dg-ga
33
The categories of this paper are: plasm-ph
12
The categories of this paper are: nucl-th
23
The categories of this paper are: solv-int