Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Superoscillations: Realisation of quantum weak values   Superoscillations are band-limited functions with the peculiar characteristic
that they can oscillate with a frequency arbitrarily faster than their fastest
Fourier component. First anticipated in different contexts, such as optics or
radar physics, superoscillations have recently garnered renewed interest after
more modern studies have successfully linked their properties to a novel
quantum measurement theory, the weak value scheme. Under this framework,
superoscillations have quickly developed into a fruitful area of mathematical
study whose applications have evolved from the theoretical to the practical
world. Their mathematical understanding, though still incomplete, recognises
such oscillations will only arise in regions where the function is extremely
small, establishing an inherent limitation to their applicability. This paper
aims to provide a detailed look into the current state of research, both
theoretical and practical, on the topic of superoscillations, as well as
introducing the two-state vector formalism under which the weak value scheme
may be realised.

20
The categories of this paper are: acc-phys
24
The categories of this paper are: dg-ga
11
The categories of this paper are: hep-lat
30
The categories of this paper are: q-alg
21
The categories of this paper are: adap-org
26
The categories of this paper are: bayes-an
29
The categories of this paper are: funct-an
18
The categories of this paper are: econ
31
The categories of this paper are: ao-sci
28
The categories of this paper are: alg-geom
4
The categories of this paper are: cond-mat
8
The categories of this paper are: hep-ex
27
The categories of this paper are: comp-gas
33
The categories of this paper are: plasm-ph
0
The categories of this paper are: hep-ph
25
The categories of this paper are: patt-sol