Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Ticking-clock performance enhanced by nonclassical temporal correlations   We investigate the role of nonclassical temporal correlations in enhancing
the performance of ticking clocks in a discrete-time scenario. We show that the
problem of optimal models for ticking clocks is related to the violation of
Leggett-Garg-type temporal inequalities formulated in terms of, possibly
invasive, sequential measurements, but on a system with a bounded memory
capacity. Ticking clocks inspire the derivation of a family of temporal
inequalities showing a gap between classical and quantum correlations, despite
involving no input. We show that quantum ticking-clock models achieving
accuracy beyond the classical bound are also those violating Leggett-Garg-type
temporal inequalities for finite sequences and we investigate their
continuous-time limit. Interestingly, we show that optimal classical clock
models in the discrete-time scenario do not have a well-defined continuous-time
limit, a feature that is absent in quantum models.

16
The categories of this paper are: stat
37
The categories of this paper are: supr-con
15
The categories of this paper are: nucl-ex
8
The categories of this paper are: hep-ex
36
The categories of this paper are: cmp-lg
6
The categories of this paper are: astro-ph
3
The categories of this paper are: physics
34
The categories of this paper are: chem-ph
27
The categories of this paper are: comp-gas
21
The categories of this paper are: adap-org
26
The categories of this paper are: bayes-an
28
The categories of this paper are: alg-geom
31
The categories of this paper are: ao-sci
17
The categories of this paper are: q-fin
2
The categories of this paper are: math
12
The categories of this paper are: nucl-th