  The experimental verification of quantum fluctuation relations for driven
open quantum system is currently a challenge, due to the conceptual and
operative difficulty of distinguishing work and heat. The Nitrogen-Vacancy
center in diamond has been recently proposed as a controlled test bed to study
fluctuation relations in the presence of an engineered dissipative channel, in
absence of work [Hern\'andez-G\'omez et al., Phys. Rev. Research 2, 023327
(2020)]. Here, we extend those studies to exploring the validity of quantum
fluctuation relations in a driven-dissipative scenario, where the spin
exchanges energy both with its surroundings because of a thermal gradient, and
with an external work source. We experimentally prove the validity of the
quantum fluctuation relations in the presence of cyclic driving in two cases,
when the spin exchanges energy with an effective infinite-temperature
reservoir, and when the total work vanishes at stroboscopic times -- although
the power delivered to the NV center is non-null. Our results represent the
first experimental study of quantum fluctuation relation in driven open quantum
systems.
