  Quantum computing is gaining increased attention as a potential way to speed
up simulations of physical systems, and it is also of interest to apply it to
simulations of classical plasmas. However, quantum information science is
traditionally aimed at modeling linear Hamiltonian systems of a particular form
that is found in quantum mechanics, so extending the existing results to plasma
applications remains a challenge. Here, we report a preliminary exploration of
the long-term opportunities and likely obstacles in this area. First, we show
that many plasma-wave problems are naturally representable in a quantumlike
form and thus are naturally fit for quantum computers. Second, we consider more
general plasma problems that include non-Hermitian dynamics (instabilities,
irreversible dissipation) and nonlinearities. We show that by extending the
configuration space, such systems can also be represented in a quantumlike form
and thus can be simulated with quantum computers too, albeit that requires more
computational resources compared to the first case. Third, we outline potential
applications of hybrid quantum--classical computers, which include analysis of
global eigenmodes and also an alternative approach to nonlinear simulations.
