  We describe an approach to electrically control the strong interaction
between a single electron spin and the vibrational motion of a suspended carbon
nanotube resonator. The strength of the deflection-induced spin-phonon coupling
is dependent on the wavefunction of the electron confined in a lateral carbon
nanotube quantum dot. An electrical field along the nanotube shifts the
effective center of the quantum dot, leading to the corresponding modification
of the spin-phonon strength. Numerical simulations with experimentally
reachable parameters show that high fidelity quantum state transfer between
mechanical and spin qubits driven by electrical pulses is feasible. Our results
form the basis for the fully electrical control of the coherent interconvertion
between light and spin qubits and for manufacturing electrically driven quantum
information processing systems.
