Fig. 1
From: Experimental demonstration of robust self-testing for bipartite entangled states

Self-testing proposals. a The scheme to self-test an arbitrary pure bipartite entangled state: measurement inputs and outputs from a [{3, d}, {4, d}] Bell experiment are recorded, by which one can estimate the correlations of the Bell experiment and construct a local isometry Φ. We conclude that the correlations self-test |ψtarget〉 on the condition of Φ(|ψ〉) = |auxiliary〉 ⊗ |ψtarget〉. b The specific strategy to self-test a four-dimensional state in Eq. (6). This joint state is decomposed into four 2 × 2 blocks, and each block can be self-tested according to the measurement strategy illustrated, while the whole state can be self-tested by combining these results