  Fundamental properties of two electrostatically interacting single-electron
lines (SEL) are determined from a minimalistic tight-binding model. The lines
are represented by a chain of coupled quantum wells that could be implemented
in a mainstream nanoscale CMOS process technology and tuned electrostatically
by DC or AC voltage biases. The obtained results show an essential qualitative
difference with two capacitively coupled classical electrical lines. The
derived equations and their solutions prove that the two coupled SET lines can
create an entanglement between electrons. The results indicate a possibility of
constructing electrostatic (non-spin) coupled qubits that could be used as
building blocks in a CMOS quantum computer.
