Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quantifying the nonclassicality of pure dephasing   One of the central problems in quantum theory is to characterize, detect, and
quantify quantumness in terms of classical strategies. Dephasing processes,
caused by non-dissipative information exchange between quantum systems and
environments, provides a natural platform for this purpose, as they control the
quantum-to-classical transition. Recently, it has been shown that dephasing
dynamics itself can exhibit (non)classical traits, depending on the nature of
the system-environment correlations and the related (im)possibility to simulate
these dynamics with Hamiltonian ensembles---the classical strategy. Here we
establish the framework of detecting and quantifying the nonclassicality for
pure dephasing dynamics. The uniqueness of the canonical representation of
Hamiltonian ensembles is shown, and a constructive method to determine the
latter is presented. We illustrate our method for qubit, qutrit, and qubit-pair
pure dephasing and describe how to implement our approach with quantum process
tomography experiments. Our work is readily applicable to present-day quantum
experiments.

8
The categories of this paper are: hep-ex
26
The categories of this paper are: bayes-an
21
The categories of this paper are: adap-org
31
The categories of this paper are: ao-sci
3
The categories of this paper are: physics
2
The categories of this paper are: math
28
The categories of this paper are: alg-geom
15
The categories of this paper are: nucl-ex
1
The categories of this paper are: cs
33
The categories of this paper are: plasm-ph
34
The categories of this paper are: chem-ph
5
The categories of this paper are: gr-qc
20
The categories of this paper are: acc-phys
10
The categories of this paper are: q-bio
22
The categories of this paper are: chao-dyn
24
The categories of this paper are: dg-ga