Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Measure of not-completely-positive qubit maps: the general case   We show that the set of not-completely-positive (NCP) maps is unbounded,
unless further assumptions are made. This is done by first proposing a
reasonable definition of a valid NCP map, which is nontrivial because NCP maps
may lack a full positivity domain. The definition is motivated by specific
examples. We prove that for valid NCP maps, the eigenvalue spectrum of the
corresponding dynamical matrix is not bounded. Based on this, we argue that in
general the volume measure of qubit maps, including NCP maps, is not well
defined.

9
The categories of this paper are: nlin
21
The categories of this paper are: adap-org
2
The categories of this paper are: math
36
The categories of this paper are: cmp-lg
28
The categories of this paper are: alg-geom
22
The categories of this paper are: chao-dyn
19
The categories of this paper are: eess
29
The categories of this paper are: funct-an
35
The categories of this paper are: mtrl-th
18
The categories of this paper are: econ
7
The categories of this paper are: hep-th
26
The categories of this paper are: bayes-an
0
The categories of this paper are: hep-ph
12
The categories of this paper are: nucl-th
3
The categories of this paper are: physics
8
The categories of this paper are: hep-ex