Quantum entanglement is a crucial element of establishing the entangled network structure
of the quantum Internet. Here we define a method to achieve controlled entanglement
access in the quantum Internet. The proposed model defines different levels of entanglement
accessibility for the users of the quantum network. The path cost is determined by
an integrated criterion on the entanglement fidelities between the quantum nodes and
the probabilities of entangled connections of an entangled path. We reveal the connection
between the number of available entangled paths and the accessible fidelity of entanglement
and reliability in the end nodes. The scheme provides an efficient model for entanglement
access control in the experimental quantum Internet.