  A theoretical investigation has been made of the magnetoplasmon excitations
in a quasi-one-dimensional electron system comprised of vertically stacked,
self-assembled InAs/GaAs quantum dots. The smaller length scales involved in
the experiments impel us to consider a perfectly periodic system of
two-dimensionally confined InAs quantum dot layers separated by GaAs spacers.
Subsequent system is subjected to a two-dimensional confining (harmonic)
potential in the x-y plane and an applied magnetic field (B) in the symmetric
gauge. This scheme defines virtually a system of quantum wire comprised of
vertically stacked quantum dots (VSQD). We derive and discuss the Dyson
equation, the generalized (nonlocal and dynamic) dielectric function, and the
inverse dielectric function for investigating the single-particle and
collective (magnetoplasmon) excitations within the framework of (full)
random-phase approximation (RPA). As an application, we study the influence of
the confinement potential and the magnetic field on the component
eigenfunctions, the density of states (DOS), the Fermi energy, the collective
excitations, and the inverse dielectric functions. These findings demonstrate,
for the very first time, the significance of investigating the system of VSQD
subjected to a quantizing magnetic field. Given the edge over the planar
quantum dots and the foreseen applications in the single-electron devices and
quantum computation, investigating the system of VSQD is deemed vital. The
results suggest exploiting magnetoplasmon qubits to be a potential option for
implementing the solemn idea of quantum state transfer in devising quantum
gates for the quantum computation and quantum communication networks.
