Adjusting inequalities for detection-loophole-free steering experiments

Abstract

We study the problem of certifying quantum steering in a detection-loophole-free manner in experimental situations that require post-selection. We present a method to find the modified local-hidden-state bound of steering inequalities in such a post-selected scenario. We then present a construction of linear steering inequalities in arbitrary finite dimension and show that they certify steering in a loophole-free manner as long as the detection efficiencies are above the known bound below which steering can never be demonstrated. We also show how our method extends to the scenarios of multipartite steering and Bell nonlocality, in the general case where there can be correlations between the losses of the different parties. In both cases we present examples to demonstrate the techniques developed.

12 pages, 4 figures

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Cited by in corpus (4)

• Noise-Robust and Loss-Tolerant Quantum Steering with Qudits
• Experimental demonstration of one-sided device-independent self-testing of any pure two-qubit entangled state
• Custom Bell inequalities from formal sums of squares
• One-way Einstein-Podolsky-Rosen steering beyond qubits