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The idea of self-testing is to render guarantees concerning the innerworkings of a device based on the measurement statistics. It is one of the mostformidable quantum certification and benchmarking schemes. Recently it wasshown by Coladangelo et. al. (Nat Commun 8, 15485 (2017)) that all purebipartite entangled states can be self tested in the device independentscenario by employing subspace methods introduced by Yang et. al. (Phys. Rev. A87, 050102(R)). Here, we have adapted their method to show that any bipartitepure entangled state can be certified in the semi-device independent scenariothrough Quantum Steering. Analogous to the tilted CHSH inequality, we use asteering inequality called Tilted Steering Inequality for certifying any puretwo-qubit entangled state. Further, we use this inequality to certify anybipartite pure entangled state by certifying two-dimensional sub-spaces of thequdit state by observing the structure of the set of assemblages obtained onthe trusted side after measurements are made on the un-trusted side. As afeature of quantum state certification via steering, we use the notion ofAssemblage based robust state certification to provide robustness bounds forthe certification result in the case of pure maximally entangled states of anylocal dimension.

Robust Semi-Device Independent Certification of All Pure Bipartite Maximally Entangled States via Quantum Steering