Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Fluctuation Theorems for a Quantum Channel   We establish the general framework of quantum fluctuation theorems by finding
the symmetry between the forward and backward transitions of any given quantum
channel. The Petz recovery map is adopted as the reverse quantum channel, and
the notion of entropy production in thermodynamics is extended to the quantum
regime. Our result shows that the fluctuation theorems, which are normally
considered for thermodynamic processes, can be a powerful tool to study the
detailed statistics of quantum systems as well as the effect of coherence
transfer in an arbitrary non-equilibrium quantum process. We introduce a
complex-valued entropy production to fully understand the relation between the
forward and backward processes through the quantum channel. We find the
physical meaning of the imaginary part of entropy production to witness the
broken symmetry of the quantum channel. We also show that the imaginary part
plays a crucial role in deriving the second law from the quantum fluctuation
theorem. The dissipation and fluctuation of various quantum resources including
quantum free energy, asymmetry and entanglement can be coherently understood in
our unified framework. Our fluctuation theorem can be applied to a wide range
of physical systems and dynamics to query the reversibility of a quantum state
for the given quantum processing channel involving coherence and entanglement.

14
The categories of this paper are: math-ph
23
The categories of this paper are: solv-int
7
The categories of this paper are: hep-th
28
The categories of this paper are: alg-geom
3
The categories of this paper are: physics
20
The categories of this paper are: acc-phys
18
The categories of this paper are: econ
29
The categories of this paper are: funct-an
17
The categories of this paper are: q-fin
6
The categories of this paper are: astro-ph
16
The categories of this paper are: stat
15
The categories of this paper are: nucl-ex
25
The categories of this paper are: patt-sol
22
The categories of this paper are: chao-dyn
24
The categories of this paper are: dg-ga
0
The categories of this paper are: hep-ph