Imprecision plateaus in quantum steering

Abstract

We study tests of quantum steering in which the trusted party does not have perfect control of their measurements. We report on steering inequalities that remain unaffected when introducing up to a threshold magnitude of measurement imprecision. This phenomenon, which we call an imprecision plateau, thus permits a departure from the standard assumption of idealised measurements without any incuring cost to the detection power of steering experiments. We provide an explanation for why imprecision plateaus are possible, a simple criterion for their existence and tools for analysing their properties. We also demonstrate that these plateaus have natural applications when the assumption of perfect measurements is relaxed: they allow for maintaining both the noise- and loss-robustness of standard steering tests and the performance rate of idealised one-sided device-independent random number generators.

References in corpus (7)

• Steering, Entanglement, Nonlocality, and the EPR Paradox
• Experimental criteria for steering and the Einstein-Podolsky-Rosen paradox
• Bounding the set of quantum correlations
• Imperfect measurements settings: implications on quantum state tomography and entanglement witnesses
• Bounding the set of finite dimensional quantum correlations
• Experimental device-independent verification of quantum steering
• Distrustful quantum steering

Cited by in corpus (2)

• Imprecise quantum steering inequalities in tripartite systems
• Ability of entanglement and purity to help to detect systematic experimental errors