  There are recent considerations to increase the photomultiplier density in
the IceCube detector array beyond that of DeepCore, which will lead to a lower
detection threshold and a huge fiducial mass for the neutrino detection. This
initiative is known as "Phased IceCube Next Generation Upgrade" (PINGU). We
discuss the possibility to send a neutrino beam from one of the major
accelerator laboratories in the Northern hemisphere to such a detector. Such an
experiment would be unique in the sense that it would be the only neutrino beam
where the baseline crosses the Earth's core. We study the detector requirements
for a beta beam, a neutrino factory beam, and a superbeam, where we consider
both the cases of small theta_13 and large theta_13, as suggested by the recent
T2K and Double Chooz results. We illustrate that a flavor-clean beta beam best
suits the requirements of such a detector, in particular, that PINGU may
replace a magic baseline detector for small values of theta_13 -- even in the
absence of any energy resolution capability. For large theta_13, however, a
single-baseline beta beam experiment cannot compete if it is constrained by the
CERN-SPS. For a neutrino factory, because of the missing charge identification
possibility in the detector, a very good energy resolution is required. If this
can be achieved, especially a low energy neutrino factory, which does not
suffer from the tau contamination, may be an interesting option for large
theta_13. For the superbeam, where we use the LBNE beam as a reference,
electron neutrino flavor identification and statistics are two of the main
limitations. Finally, we demonstrate that, at least in principle, neutrino
factory and superbeam can measure the density of the Earth's core to the
sub-percent level for sin^2 2theta_13 larger than 0.01.
