Self Testing of All Pure Bipartite Entangled States via Quantum Steering

Harshank Shrotriya, Kishor Bharti, L. C. Kwek · arXiv (Cornell University) · 2020

The idea of self-testing is to render guarantees concerning the inner workings of a device based on the measurement statistics. It is one of the most formidable quantum certification and benchmarking schemes. Here, we have shown that any bipartite pure entangled state can be self-tested through Quantum Steering. Analogous to the tilted CHSH inequality, we have established a new steering inequality called Tilted Steering Inequality for self-testing any pure two-qubit entangled state. We have further used this inequality to self-test any bipartite pure entangled state by certifying two-dimensional sub-spaces of the qudit state by observing the structure of the assemblage obtained on Bob's side after Alice's measurement.

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