  We have shown in paper I of this series (arXiv:1706.03795) that interstellar
communication to nearby (pc) stars is possible at data rates of bits per second
per Watt between a 1 m sized probe and a large receiving telescope (E-ELT, 39
m), when optimizing all parameters such as frequency at 300-400 nm. We now
apply our framework of interstellar extinction and quantum state calculations
for photon encoding to the solar gravitational lens (SGL), which enlarges the
aperture (and thus the photon flux) of the receiving telescope by a factor of
$>10^9$. For the first time, we show that the use of the SGL for communication
purposes is possible. This was previously unclear because the Einstein ring is
placed inside the solar coronal noise, and contributing factors are difficult
to determine. We calculate point-spread functions, aperture sizes, heliocentric
distance, and optimum communication frequency. The best wavelength for nearby
(<100 pc) interstellar communication is limited by current technology to the UV
and optical band. To suppress coronal noise, an advanced coronograph is
required, alternatively an occulter could be used which would require a second
spacecraft in formation flight 78 km from the receiver, and ~10 m in size. Data
rates scale approximately linear with the SGL telescope size and with
heliocentric distance. Achievable (receiving) data rates from Alpha Cen are
1-10 Mbits per second per Watt for a pair of meter-sized telescopes, an
improvement of $10^6$ compared to using the same receiving telescope without
the SGL. A 1 m telescope in the SGL can receive data at rates comparable to a
km-class "normal" telescope.
