  We demonstrate non-classical cooling on the IBMq cloud quantum computer. We
implement a recently proposed refrigeration protocol which relies upon
indefinite causal order for its quantum advantage. We use quantum channels
which, when used in a well-defined order, are useless for refrigeration. We are
able to use them for refrigeration, however, by applying them in a
superposition of different orders. Our protocol is by nature relatively robust
to noise, and so can be implemented on this noisy platform. As far as the
authors are aware, this is the first example of cloud quantum refrigeration.
