  In the future, quantum computers will become widespread and a network of
quantum repeaters will provide them with end-to-end entanglement of remote
quantum bits. As a result, a pervasive quantum computation infrastructure will
emerge, which will unlock several novel applications, including distributed
quantum computing, that is the pooling of resources on multiple computation
nodes to address problem instances that are unattainable by any individual
quantum computer. In this paper, we first investigate the issue of service
differentiation in this new environment. Then, we define the problem of how to
select which computation nodes should participate in each pool, so as to
achieve a fair share of the quantum network resources available. The analysis
is performed via an open source simulator and the results are fully and readily
available.
