  Invasiveness of quantum measurements is a genuinely quantum mechanical
feature that is not necessarily detrimental: Here we show how quantum
measurements can be used to fuel a cooling engine. We illustrate quantum
measurement cooling (QMC) by means of a prototypical two-stroke two-qubit
engine which interacts with a measurement apparatus and two heat reservoirs at
different temperatures. We show that feedback control is not necessary for
operation while entanglement must be present in the measurement projectors. We
quantify the probability that QMC occurs when the measurement basis is chosen
randomly, and find that it can be very large as compared to the probability of
extracting energy (heat engine operation), while remaining always smaller than
the most useless operation, namely dumping heat in both baths. These results
show that QMC can be very robust to experimental noise. A possible
low-temperature solid-state implementation that integrates circuit QED
technology with circuit quantum thermodynamics technology is presented.
