Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quantum search with modular variables   We give a dimension independent formulation of the quantum search algorithm
introduced in [L. K. Grover, Phys. Rev. Lett. {\bf 79}, 325 (1997)]. This
algorithm provides a quadratic gain when compared to its classical counterpart
by manipulating quantum two--level systems, qubits. We show that this gain,
already known to be optimal, is preserved, irrespectively of the dimension of
the system used to encode quantum information. This is shown by adapting the
protocol to Hilbert spaces of any dimension using the same sequence of
operations/logical gates as its original qubit formulation. Our results are
detailed and illustrated for a system described by continuous variables, where
qubits can be encoded in infinitely many distinct states using the modular
variable formalism.

6
The categories of this paper are: astro-ph
1
The categories of this paper are: cs
4
The categories of this paper are: cond-mat
3
The categories of this paper are: physics
2
The categories of this paper are: math
27
The categories of this paper are: comp-gas
7
The categories of this paper are: hep-th
34
The categories of this paper are: chem-ph
36
The categories of this paper are: cmp-lg
25
The categories of this paper are: patt-sol
26
The categories of this paper are: bayes-an
10
The categories of this paper are: q-bio
23
The categories of this paper are: solv-int
11
The categories of this paper are: hep-lat
35
The categories of this paper are: mtrl-th
0
The categories of this paper are: hep-ph