Post-quantum steering is a stronger-than-quantum resource for information processing

Abstract

We present the first instance where post-quantum steering is a stronger-than-quantum resource for information processing -- remote state preparation. In addition, we show that the phenomenon of post-quantum steering is not just a mere mathematical curiosity allowed by the no-signalling principle, but it may arise within compositional theories beyond quantum theory, hence making its study fundamentally relevant. We show these results by formulating a new compositional general probabilistic theory -- which we call Witworld -- with strong post-quantum features, which proves to be a intuitive and useful tool for exploring steering and its applications beyond the quantum realm.

arXiv comment9 pages, loads of diagrams. Comments welcome. Latest version: published version

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Cited by in corpus (12)

• A no-go theorem on the nature of the gravitational field beyond quantum theory
• Accessible fragments of generalized probabilistic theories, cone equivalence, and applications to witnessing nonclassicality
• The future of secure communications: device independence in quantum key distribution
• The resource theory of nonclassicality of channel assemblages
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