Activation of post-quantum steering

Abstract

There are possible physical theories that give greater violations of Bell's inequalities than the corresponding Tsirelson bound, termed post-quantum non-locality. Such theories do not violate special relativity, but could give an advantage in certain information processing tasks. There is another way in which entangled quantum states exhibit non-classical phenomena, with one notable example being Einstein-Podolsky-Rosen (EPR) steering; a violation of a bipartite Bell inequality implies EPR steering, but the converse is not necessarily true. The study of post-quantum EPR steering is more intricate, but it has been shown that it does not always imply post-quantum non-locality in a conventional Bell test. In this work we show how to distribute resources in a larger network that individually do not demonstrate post-quantum non-locality but violate a Tsirelson bound for the network. That is, we show how to activate post-quantum steering so that it can now be witnessed as post-quantum correlations in a Bell scenario. One element of our work that may be of independent interest is we show how to self-test a bipartite quantum assemblage in a network, even assuming post-quantum resources.

10 pages, some diagrams! v2 has a proof added for system independence in special cases. [v3] accepted version for publication

References in corpus (29)

• Bell nonlocality
• Device-independent security of quantum cryptography against collective attacks
• Steering, Entanglement, Nonlocality, and the EPR Paradox
• No Signalling and Quantum Key Distribution
• Information Causality as a Physical Principle
• The Einstein-Podolsky-Rosen paradox: from concepts to applications
• Quantum Steering
• Quantum steering: a review with focus on semidefinite programming
• A limit on nonlocality in any world in which communication complexity is not trivial
• A glance beyond the quantum model
• Local orthogonality as a multipartite principle for quantum correlations
• Inequivalence of entanglement, steering, and Bell nonlocality for general measurements
• Negativity and steering: a stronger Peres conjecture
• Tsirelson bounds for generalized Clauser-Horne-Shimony-Holt inequalities
• Device-independent entanglement certification of all entangled states
• Self-testing of Pauli observables for device-independent entanglement certification
• A channel-based framework for steering, non-locality and beyond
• Postquantum common-cause channels: the resource theory of local operations and shared entanglement
• A formalism for steering with local quantum measurements
• Bipartite post-quantum steering in generalised scenarios
• Quantifying EPR: the resource theory of nonclassicality of common-cause assemblages
• Post-quantum steering is a stronger-than-quantum resource for information processing
• Einstein-Podolsky-Rosen Steering Criterion and Monogamy Relation via Correlation Matrices in Tripartite Systems
• The resource theory of nonclassicality of channel assemblages
• Unveiling quantum steering by quantum-classical uncertainty complementarity
• Assemblages and steering in general probabilistic theories
• On the edge of the set of no-signaling assemblages
• Activation of post-quantumness in bipartite generalised EPR scenarios
• Single trusted qubit is necessary and sufficient for quantum realisation of extremal no-signaling correlations