Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On coherence of quantum operations by using Choi-Jamio{\l}kowski
  isomorphism   In quantum information, most information processing processes involve quantum
channels. One manifestation of a quantum channel is quantum operation acting on
quantum states. The coherence of quantum operations can be considered as a
quantum resource, which can be exploited to perform certain quantum tasks. From
the viewpoint of Choi-Jamio{\l}kowski isomorphism, we study the coherence of
quantum operations in the framework of resource theory. We define the phase-out
superoperation and give the operation which transforms the Choi-Jamio{\l}kowski
state of a quantum operation to the Choi-Jamio{\l}kowski state of the another
quantum operation obtained by using the phase-out superoperation to act on the
quantum operation. The set of maximally incoherent superoperations, the set of
nonactivating coherent superoperations and the set of de-phase incoherent
superoperations are defined and we prove that these sets are closed to compound
operation and convex combination of quantum superoperations. Further, we
introduce the fidelity coherence measure of quantum operations and obtain the
exact form of the fidelity coherence measure of the unitary operations on the
single qubit.

11
The categories of this paper are: hep-lat
34
The categories of this paper are: chem-ph
0
The categories of this paper are: hep-ph
17
The categories of this paper are: q-fin
7
The categories of this paper are: hep-th
32
The categories of this paper are: atom-ph
2
The categories of this paper are: math
25
The categories of this paper are: patt-sol
15
The categories of this paper are: nucl-ex
22
The categories of this paper are: chao-dyn
27
The categories of this paper are: comp-gas
33
The categories of this paper are: plasm-ph
29
The categories of this paper are: funct-an
14
The categories of this paper are: math-ph
8
The categories of this paper are: hep-ex
9
The categories of this paper are: nlin