Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Effect of quantum coherence on Landauer's principle   Quantum Landauer's principle provides a fundamental lower bound for energy
dissipation occurred with information erasure in the quantum regime. While most
studies have related the entropy reduction incorporated with the erasure to the
lower bound~(entropic bound), recent efforts have also provided another lower
bound associated with the thermal fluctuation of the dissipated
energy~(thermodynamic bound). The coexistence of the two bounds has stimulated
comparative studies of their properties; however, these studies were performed
for systems where the time-evolution of diagonal (population) and off-diagonal
(coherence) elements of the density matrix are decoupled. In this paper, we
aimed to broaden the comparative study to include the influence of quantum
coherence induced by the tilted system--reservoir interaction direction. By
examining their dependence on the initial state of the information-bearing
system, we find that the following properties of the bounds are generically
held regardless of whether the influence of the coherence is present or not:
the entropic bound serves as the tighter bound for a sufficiently mixed initial
state, while the thermodynamic bound is tighter when the purity of the initial
state is sufficiently high. The exception is the case where the system dynamics
involve only phase relaxation; in this case, the two bounds coincide when the
initial coherence is zero; otherwise, the thermodynamic bound serves the
tighter bound. We also find the quantum information erasure inevitably
accompanies constant energy dissipation caused by the creation of
system--reservoir correlation, which may cause an additional source of
energetic cost for the erasure.

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The categories of this paper are: astro-ph
29
The categories of this paper are: funct-an
26
The categories of this paper are: bayes-an
33
The categories of this paper are: plasm-ph
20
The categories of this paper are: acc-phys
36
The categories of this paper are: cmp-lg
32
The categories of this paper are: atom-ph
30
The categories of this paper are: q-alg
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The categories of this paper are: math
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The categories of this paper are: physics
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The categories of this paper are: adap-org
35
The categories of this paper are: mtrl-th
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The categories of this paper are: eess
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The categories of this paper are: q-fin
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The categories of this paper are: alg-geom
37
The categories of this paper are: supr-con