Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quantum computation and simulation with vibrational modes of trapped
  ions   Vibrational degrees of freedom in trapped-ion systems have recently been
gaining attention as a quantum resource, beyond the role as a mediator for
entangling quantum operations on internal degrees of freedom, because of the
large available Hilbert space. The vibrational modes can be represented as
quantum harmonic oscillators and thus offer a Hilbert space with infinite
dimension. Here we review recent theoretical and experimental progress in the
coherent manipulation of the vibrational modes, including bosonic encoding
schemes in quantum information, reliable and efficient measurement techniques,
and quantum operations that allow various quantum simulations and quantum
computation algorithms. We describe experiments using the vibrational modes,
including the preparation of non-classical states, molecular vibronic sampling,
and applications in quantum thermodynamics. We finally discuss the potential
prospects and challenges of trapped-ion vibrational-mode quantum information
processing.

25
The categories of this paper are: patt-sol
20
The categories of this paper are: acc-phys
17
The categories of this paper are: q-fin
29
The categories of this paper are: funct-an
0
The categories of this paper are: hep-ph
2
The categories of this paper are: math
31
The categories of this paper are: ao-sci
23
The categories of this paper are: solv-int
11
The categories of this paper are: hep-lat
6
The categories of this paper are: astro-ph
8
The categories of this paper are: hep-ex
10
The categories of this paper are: q-bio
15
The categories of this paper are: nucl-ex
26
The categories of this paper are: bayes-an
30
The categories of this paper are: q-alg
5
The categories of this paper are: gr-qc