Constructing multipartite Bell inequalities from stabilizers

Bell inequality with self-testing property has played an important role in quantum information field both fundamental and practical applications. However, it is generally challenging to find inequalities for multipartite states actually there are not many known candidates. In this work, we propose a systematical framework construct from stabilizers which maximally violated by general stabilizer states, two observables each local party. We show that the constructed can self-test any state essentially device-independent, if only these uniquely determine device-dependent manner. This bridges gap between device-independent verification methods. Our provide plenty of states. Among them, give families different advantages: (1) family constant ratio classical bounds using 2N correlations, (2) Single pair improving on all previous robustness N+1 efficient suitable realizations systems. inspire more fruitful conventional methods, but also pave way their