  Our goal in this article is to elucidate the rapport of work and information
in the context of a minimal quantum mechanical setup: A converter of heat input
to work output, the input consisting of a single oscillator mode prepared in a
hot thermal state along with few much colder oscillator modes. We wish to
achieve heat to work conversion in the setup while avoiding the use of a
working substance (medium) or macroscopic heat baths. The core issues we
consider, taking account of the quantum nature of the setup, are: (i) How and
to what extent can information act as work resource or, conversely, be
redundant for work extraction? (ii) What is the optimal way of extracting work
via information acquired by measurements? (iii) What is the bearing of
information on the efficiency-power tradeoff achievable in such setups? We
compare the efficiency of work extraction and the limitations of power in our
minimal setup by unitary (reversible) manipulations and by different, generic,
measurement strategies of the hot and cold modes. For each strategy the rapport
of work and information extraction is found and the cost of information erasure
is allowed for. The possibilities of work extraction without information
acquisition, via non-selective measurements, are also analyzed. Overall, we
present, by generalizing a method based on optimized homodyning that we have
recently proposed, the following insight: extraction of work by observation and
feedforward (WOF) that only measures a small fraction of the input, is clearly
advantageous to the conceivable alternatives. Our results may become a basis of
a practical strategy of converting thermal noise to useful work in optical
setups, such as coherent amplifiers of thermal light, as well as in their
optomechanical and photovoltaic counterparts.
