In recent years, quantum information technologies are rapidly advancing and moving from the labs to commercial applications. This opens new challenges, as one needs to certify using our current limited classical tools that these powerful quantum devices with no classical analogue behave as expected. The concept of quantum certification addresses this question and, given a quantum system, typical questions it considers are: (i) is the system entangled or Bell nonlocal? (ii) does it produce intrinsically quantum randomness? (iii) does it provide quantum safe security? (iv) does it perform a quantum computation correctly? Solving these questions is not only essential for the current development of quantum information technologies but, from a foundational perspective, goes at the heart of the fundamental question of what makes quantum physics special when compared to classical physics. CERQUTE successfully addressed all these questions by obtaining the following main outcomes:
1. Scalable and efficient methods for the detection of relevant quantum properties of many-body quantum systems
2. Improved proposals for the implementations of device-independent quantum information protocols
3. Study of quantum causal networks and understanding causality in the presence of quantum information
4. Construction of novel quantum information protocols in quantum networks taking advantage of network topologies
5. Novel security proofs for quantum cryptography protocols
CERQUTE therefore fully achieved its main goal, providing the concepts and tools needed for the quantum certification of quantum phenomena and devices.
