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Device-independent bounds for Hardy's experiment
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Device-independent bounds for Hardy's experiment
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In this Letter we compute an analogue of Tsirelson's bound for Hardy's test of nonlocality, that is, the maximum violation of locality constraints allowed by the quantum formalism, irrespective of the dimension of the system. The value is found to be the same as the one achievable already with two-qubit systems, and we show that only a very specific class of states can lead to such maximal value, thus highlighting Hardy's test as a device-independent self-test protocol for such states. By considering realistic constraints in Hardy's test, we also compute device-independent upper bounds on this violation and show that these bounds are saturated by two-qubit systems, thus showing that there is no advantage in using higher-dimensional systems in experimental implementations of such test.
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Cited by 1 Pith paper
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Almost all pure entangled states enable unbounded nonlocality sharing
Almost all pure entangled states, assisted by a small local ancilla, enable unbounded two-sided CHSH nonlocality sharing with only projective measurements via Hardy’s paradox.
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