  Quantum network is fragile to disturbances when qubits are transmitted
through quantum channel. Reliability is an essential requirement for a quantum
network and even the future quantum internet. A metric is needed to describe
the reliability of a quantum network to build a robust infrastructure and
communication protocols. In this work, we combined quantum physical parameters
with graphic algebraic connectivity to indicate the transmission throughput of
a grid quantum network. This metric can be extended to multiple equal
point-to-point distance topology. This work also studies how to tune specific
physical parameters to maintain or even increase connectivity when nodes or
edges are removed from a network. Using this metric, resources consumption are
compared.
