  Since a pure quantum system is incapable of faithfully simulating the
solutions of the Schroedinger equation that actually pertains to itself, it is
proposed that quantum computing technology (as opposed to cryptographic
technology) not be based on pure quantum systems such as qubits but instead on
physical systems which by their nature faithfully simulate the solutions of
Schroedinger equations. Every Schroedinger equation is within a unitary
transformation of being a set of mutually independent classical simple harmonic
oscillator equations. Thus classical simple harmonic oscillators, or "chobits",
are the mathematically fundamental building blocks for all Schroedinger
equations. In addition, classical harmonic oscillators are, as a practical
matter, far easier to deal with than any pure quantum system -- e.g., their
phases and absolute amplitudes are readily physically accessible, they have
little predilection for environmental decoherence, and they abound as cavity
electromagnetic standing-wave modes. We study in mathematical detail the use of
chobits to compute discrete quantum Fourier transforms, including gates, chobit
counts, and chobit operation counts. The results suggest that thirty chobits
and under a thousand chobit phase operations could generate discrete quantum
Fourier transforms of a billion terms. Chobits can be technologically realized
as semiconductor dynatron-type electronic oscillator circuits, which ought to
be amenable to very considerable miniaturization.
