Bipartite post-quantum steering in generalised scenarios

Abstract

The study of stronger-than-quantum effects is a fruitful line of research that provides valuable insight into quantum theory. Unfortunately, traditional bipartite steering scenarios can always be explained by quantum theory. Here we show that, by relaxing this traditional setup, bipartite steering incompatible with quantum theory is possible. The two scenarios we describe, which still feature Alice remotely steering Bob's system, are: (i) one where Bob also has an input and operates on his subsystem, and (ii) the `instrumental steering' scenario. We show that such bipartite post-quantum steering is a genuinely new type of post-quantum nonlocality, which does not follow from post-quantum Bell nonlocality. In addition, we present a method to bound quantum violations of steering inequalities in these scenarios.

arXiv comment21 pages, one figure. Comments welcome ! V2: We include a relaxation (characterised by a semidefinite program) of the set of quantum assemblages in the Bob-with-Input scenario

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Cited by in corpus (17)

• The type-independent resource theory of local operations and shared randomness
• Type-independent Characterization of Spacelike Separated Resources
• Postquantum common-cause channels: the resource theory of local operations and shared entanglement
• Quantifying EPR: the resource theory of nonclassicality of common-cause assemblages
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• The resource theory of nonclassicality of channel assemblages
• Detecting quantum steering in networks
• On characterising assemblages in Einstein-Podolsky-Rosen scenarios
• Certified Randomness From Steering Using Sequential Measurements
• Probing the limits of quantum theory with quantum information at subnuclear scales
• Activation of post-quantumness in bipartite generalised EPR scenarios
• Exposure of subtle multipartite quantum nonlocality
• On the edge of the set of no-signaling assemblages
• Entanglement Cost for Steering Assemblages
• A hierarchy of semidefinite programs for generalised Einstein-Podolsky-Rosen scenarios
• Hybrid no-signaling-quantum correlations
• Activation of post-quantum steering