One of the most important goals in quantum thermodynamics is to demonstrate
advantages of thermodynamic protocols over their classical counterparts. For
that, it is necessary to (i) develop theoretical tools and experimental set-ups
to deal with quantum coherence in thermodynamic contexts, and to (ii) elucidate
which properties are genuinely quantum in a thermodynamic process. In this
short review, we discuss proposals to define and measure work fluctuations that
allow to capture quantum interference phenomena. We also discuss fundamental
limitations arising due to measurement back-action, as well as connections
between work distributions and quantum contextuality. We hope the different
results summarised here motivate further research on the role of quantum
phenomena in thermodynamics.Comment: As a chapter of: F. Binder, L. A. Correa, C. Gogolin, J. Anders, and
G. Adesso (eds.), "Thermodynamics in the quantum regime - Recent Progress and
Outlook", (Springer International Publishing). Second version: Misspell in
the title correcte