  Quantum oscillators prepared out of thermal equilibrium can be used to
produce work and transmit information. By intensive cooling of a single
oscillator, its thermal energy deterministically dissipates to a colder
environment, and the oscillator substantially reduces its entropy. This
out-of-equilibrium state allows us to obtain work and to carry information.
Here, we propose and experimentally demonstrate an advanced approach,
conditionally preparing more efficient out-of-equilibrium states only by a weak
dissipation, an inefficient quantum measurement of the dissipated thermal
energy, and subsequent triggering of that states. Although it conditionally
subtracts the energy quanta from the oscillator, average energy grows, and
second-order correlation function approaches unity as by coherent external
driving. On the other hand, the Fano factor remains constant and the entropy of
the subtracted state increases, which raise doubts about a possible application
of this approach. To resolve it, we predict and experimentally verify that both
available work and transmitted information can be conditionally higher in this
case than by arbitrary cooling or adequate thermal heating up to the same
average energy. It qualifies the conditional procedure as a useful source for
experiments in quantum information and thermodynamics.
