Effect of quantum measurement errors on witnessing network topology

The fragility and stochastic behavior of quantum sources make it crucial to witness the topology of quantum networks. Most previous theoretical methods are based on perfect assumptions of quantum measurements. In this work, we propose a method to witness network topology under imperfect assumptions of quantum measurements. We show that the discrimination between star and triangle networks depends on the specific error tolerances of local measurements. This extends recent results for witnessing the triangle network Phys. Rev. Lett.132 240801 (2024).