  The evolution of quantum computing technologies has been advancing at a
steady pace in the recent years, and the current trend suggests that it will
become available at scale for commercial purposes in the near future. The
acceleration can be boosted by pooling compute infrastructures to either
parallelize algorithm execution or solve bigger instances that are not feasible
on a single quantum computer, which requires an underlying Quantum Internet:
the interconnection of quantum computers by quantum links and repeaters to
exchange entangled quantum bits. However, Quantum Internet research so far has
been focused on provisioning point-to-point flows only, which is suitable for
(e.g.) quantum sensing and metrology, but not for distributed quantum
computing. In this paper, after a primer on quantum computing and networking,
we investigate the requirements and objectives of smart computing on
distributed nodes from the perspective of quantum network provisioning. We then
design a resource allocation strategy that is evaluated through a comprehensive
simulation campaign, whose results highlight the key features and performance
issues, and lead the way to further investigation in this direction.
