  Quantum measurement is ultimately a physical process, resulting from an
interaction between the measured system, and a measurement apparatus.
Considering the physical process of measurement within a thermodynamic context
naturally raises the following question: how can the work and heat resulting
from the measurement process be interpreted? In the present manuscript, we
consider the physical realisation of an arbitrary discrete observable as a
measurement scheme, which is decomposed into two processes: premeasurement,
followed by objectification. Premeasurement results from a unitary interaction
between the measured system and a quantum probe of the measurement apparatus,
whereas objectification is the process by which the probe is "measured" by a
pointer observable, thus revealing a definite measurement outcome. Since
premeasurement involves a mechanical manipulation of system and probe by the
external observer, we identify this process with work. On the other hand, the
apparatus is mechanically isolated during objectification. As such, we identify
objectification with heat. We argue that in order for the apparatus to serve as
a measurement, the heat will necessarily be a classically fluctuating quantity.
