Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On Grover's Search Algorithm from a Quantum Information Geometry
  Viewpoint   We present an information geometric characterization of Grover's quantum
search algorithm. First, we quantify the notion of quantum distinguishability
between parametric density operators by means of the Wigner-Yanase quantum
information metric. We then show that the quantum searching problem can be
recast in an information geometric framework where Grover's dynamics is
characterized by a geodesic on the manifold of the parametric density operators
of pure quantum states constructed from the continuous approximation of the
parametric quantum output state in Grover's algorithm. We also discuss possible
deviations from Grover's algorithm within this quantum information geometric
setting.

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The categories of this paper are: q-fin
11
The categories of this paper are: hep-lat
16
The categories of this paper are: stat
25
The categories of this paper are: patt-sol
9
The categories of this paper are: nlin
6
The categories of this paper are: astro-ph
8
The categories of this paper are: hep-ex
30
The categories of this paper are: q-alg
31
The categories of this paper are: ao-sci
10
The categories of this paper are: q-bio
27
The categories of this paper are: comp-gas
22
The categories of this paper are: chao-dyn
34
The categories of this paper are: chem-ph
3
The categories of this paper are: physics
4
The categories of this paper are: cond-mat
7
The categories of this paper are: hep-th