Quantum advantage is characterized by the ability to perform tasks beyond classical capabilities, for example, in computation, communication, or sensing. Such advantages rely on specific quantum resources, which vary depending on the task. Certifying the presence of these resources in realistic settings is therefore a central challenge in quantum information science.

In this talk, we explore the certification of quantum resources via state-discrimination tasks. First, we show that non-destructive discrimination of entangled states between spatially separated parties is impossible by local operations, unless the two parties have pre-shared entanglement. This enables entanglement certification even when classical communication is allowed, providing a more refined approach than the standard Bell test. Second, we discuss a certification protocol for quantum computational resources, often referred to as magic. We show that there exists a set of classically efficiently simulable stabilizer states that do not contain magic, yet their discrimination requires many T-gates. This allows us to certify expensive quantum computational resources using inexpensive quantum states, since stabilizer states can be prepared fault-tolerantly.

These results demonstrate that state discrimination can serve as a versatile tool for verifying nonclassical resources in near-term quantum technologies.