Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: An Empirical Review of Optimization Techniques for Quantum Variational
  Circuits   Quantum Variational Circuits (QVCs) are often claimed as one of the most
potent uses of both near term and long term quantum hardware. The standard
approaches to optimizing these circuits rely on a classical system to compute
the new parameters at every optimization step. However, this process can be
extremely challenging, due to the nature of navigating the exponentially
scaling complex Hilbert space, barren plateaus, and the noise present in all
foreseeable quantum hardware. Although a variety of optimization algorithms are
employed in practice, there is often a lack of theoretical or empirical
motivations for this choice. To this end we empirically evaluate the potential
of many common gradient and gradient free optimizers on a variety of
optimization tasks. These tasks include both classical and quantum data based
optimization routines. Our evaluations were conducted in both noise free and
noisy simulations. The large number of problems and optimizers evaluated yields
strong empirical guidance for choosing optimizers for QVCs that is currently
lacking.

34
The categories of this paper are: chem-ph
23
The categories of this paper are: solv-int
29
The categories of this paper are: funct-an
30
The categories of this paper are: q-alg
18
The categories of this paper are: econ
9
The categories of this paper are: nlin
16
The categories of this paper are: stat
28
The categories of this paper are: alg-geom
32
The categories of this paper are: atom-ph
11
The categories of this paper are: hep-lat
33
The categories of this paper are: plasm-ph
5
The categories of this paper are: gr-qc
37
The categories of this paper are: supr-con
14
The categories of this paper are: math-ph
19
The categories of this paper are: eess
31
The categories of this paper are: ao-sci