Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Generalized Quantum Inner Product and Applications to Financial
  Engineering   In this paper we present a canonical quantum computing method to estimate the
weighted sum w(k)f(k) of the values taken by a discrete function f and real
weights w(k). The canonical aspect of the method comes from relying on a single
linear function encoded in the amplitudes of a quantum state, and using
register entangling to encode the function f.
  We further expand this framework by mapping function values to hashes in
order to estimate weighted sums w(k)h(f(k)) of hashed function values with real
hashes h. This generalization allows the computation of restricted weighted
sums such as value at risk, comparators, as well as Lebesgue integrals and
partial moments of statistical distributions.
  We also introduce essential building blocks such as efficient encodings of
standardized linear quantum states and normal distributions.

28
The categories of this paper are: alg-geom
34
The categories of this paper are: chem-ph
17
The categories of this paper are: q-fin
20
The categories of this paper are: acc-phys
24
The categories of this paper are: dg-ga
7
The categories of this paper are: hep-th
26
The categories of this paper are: bayes-an
9
The categories of this paper are: nlin
30
The categories of this paper are: q-alg
25
The categories of this paper are: patt-sol
19
The categories of this paper are: eess
23
The categories of this paper are: solv-int
22
The categories of this paper are: chao-dyn
12
The categories of this paper are: nucl-th
35
The categories of this paper are: mtrl-th
2
The categories of this paper are: math