Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quantum channels arising from abstract harmonic analysis   We present a new application of harmonic analysis to quantum information by
constructing intriguing classes of quantum channels stemming from specific
representations of multiplier algebras over locally compact groups $G$.
Beginning with a representation of the measure algebra $M(G)$, we unify and
elaborate on recent counter-examples to fixed point subalgebras in infinite
dimensions, as well as present an application to the noiseless subsystems
method of quantum error correction. Using a representation of the completely
bounded Fourier multiplier algebra $McbA(G)$, we provide a new class of
counter-examples to the recently solved asymptotic quantum Birkhoff conjecture,
along with a systematic method of producing the examples using a geometric
representation of Schur maps. Further properties of our channels including
duality, quantum capacity, and entanglement preservation are discussed along
with potential applications to additivity conjectures.

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The categories of this paper are: comp-gas
12
The categories of this paper are: nucl-th
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The categories of this paper are: atom-ph
23
The categories of this paper are: solv-int
21
The categories of this paper are: adap-org
37
The categories of this paper are: supr-con
0
The categories of this paper are: hep-ph
8
The categories of this paper are: hep-ex
31
The categories of this paper are: ao-sci
20
The categories of this paper are: acc-phys
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The categories of this paper are: chem-ph
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The categories of this paper are: funct-an
7
The categories of this paper are: hep-th
9
The categories of this paper are: nlin
3
The categories of this paper are: physics
18
The categories of this paper are: econ