Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quantum Pseudo-fractional Fourier Transform and its application to
  quantum phase estimation   - In this paper we present a method to compute the coefficients of the
fractional Fourier transform (FrFT) on a quantum computer using quantum gates
of polynomial complexity of the order O(n^3). The FrFt, a generalization of the
DFT, has wide applications in signal processing and is particularly useful to
implement the Pseudopolar and Radon transforms. Even though the FrFT is a
non-unitary operation, to develop its quantum counterpart, we develop a unitary
operator called the quantum Pseudo-fraction Fourier Transform (QPFrFT) in a
higher-dimensional Hilbert space, in order to computer the coefficients of the
FrFT. In this process we develop a unitary operator denoted U by which is an
essential step to implement the QPFrFT. We then show the application of the
operator U in the problem of quantum phase estimation.

0
The categories of this paper are: hep-ph
6
The categories of this paper are: astro-ph
8
The categories of this paper are: hep-ex
32
The categories of this paper are: atom-ph
16
The categories of this paper are: stat
19
The categories of this paper are: eess
34
The categories of this paper are: chem-ph
31
The categories of this paper are: ao-sci
37
The categories of this paper are: supr-con
23
The categories of this paper are: solv-int
33
The categories of this paper are: plasm-ph
5
The categories of this paper are: gr-qc
30
The categories of this paper are: q-alg
4
The categories of this paper are: cond-mat
29
The categories of this paper are: funct-an
10
The categories of this paper are: q-bio