Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Optimal finite-time erasure of a classical bit   Information erasure inevitably leads to heat dissipation. Minimizing this
dissipation will be crucial for developing small-scale information processing
systems, but little is known about the optimal procedures required. We have
obtained closed-form expressions for maximally efficient erasure cycles for
deletion of a classical bit of information stored by the position of a particle
diffusing in a double-well potential. We find that the extra dissipation beyond
the Landauer bound is proportional to the square of the Hellinger distance
between the initial and final states divided by the cycle duration, which
quantifies how far out of equilibrium the system is driven. Finally, we
demonstrate close agreement between the exact optimal cycle and the protocol
found using a linear response framework.

30
The categories of this paper are: q-alg
10
The categories of this paper are: q-bio
9
The categories of this paper are: nlin
37
The categories of this paper are: supr-con
5
The categories of this paper are: gr-qc
33
The categories of this paper are: plasm-ph
20
The categories of this paper are: acc-phys
27
The categories of this paper are: comp-gas
26
The categories of this paper are: bayes-an
14
The categories of this paper are: math-ph
35
The categories of this paper are: mtrl-th
18
The categories of this paper are: econ
0
The categories of this paper are: hep-ph
13
The categories of this paper are: quant-ph
22
The categories of this paper are: chao-dyn
23
The categories of this paper are: solv-int