  In a world where Quantum Networks are rapidly becoming a reality, the
development of the Quantum Internet is gaining increasing interest.
Nevertheless, modern quantum networks are still in the early stages of
development and have limited capacity to distribute resources among different
users -- a constraint that needs to be taken into account. In this work we aim
to investigate these constraints, using a novel setup for implementing Quantum
Random Access Codes (QRACs), communication protocols known for their quantum
advantage over their classical counterparts and semi-device-independent
self-testing applications. Our QRAC states, made for the first time using weak
coherent pulses instead of entangled single photons, allow us to experimentally
test our encoding and decoding strategy from the resource allocation
perspective. Moreover, by emulating a coexistent classical communication, we
test the resilience of our implementation in presence of noise. The achieved
results represent a significant milestone both for theoretical studies of
quantum resource allocation and for the implementation of quantum
infrastructures capable of coexisting with regular telecommunication networks.
