Self-testing quantum states via nonmaximal violation in Hardy's test of nonlocality
arXiv:2112.06595 · doi:10.1103/PhysRevA.105.052227
Abstract
Self-testing protocols enable certification of quantum devices without demanding full knowledge about their inner workings. A typical approach in designing such protocols is based on observing nonlocal correlations which exhibit maximum violation in a Bell test. We show that in Bell experiment known as Hardy's test of nonlocality not only the maximally nonlocal correlation self-tests a quantum state, rather a non-maximal nonlocal behavior can serve the same purpose. We, in fact, completely characterize all such behaviors leading to self-test of every pure two qubit entangled state except the maximally entangled ones. Apart from originating a novel self-testing protocol, our method provides a powerful tool towards characterizing the complex boundary of the set of quantum correlations.
arXiv commentTitle modified, closer to the published version (9 pages + 6 figures)
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- Custom Bell inequalities from formal sums of squares
- Quantum Nonlocality: Multi-copy Resource Inter-convertibility & Their Asymptotic Inequivalence
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