Journal
NEW JOURNAL OF PHYSICS
Volume 20, Issue -, Pages -Publisher
IOP PUBLISHING LTD
DOI: 10.1088/1367-2630/aad8df
Keywords
quantum non-locality; EPR steering; quantum maps; entanglement witnesses
Categories
Funding
- ERC AdG NLST
- EPSRC through grant Building Large Quantum States out of Light [EP/K034480/1]
- EPSRC through the Networked Quantum Information Technologies (NQIT) Hub
- MEC
- MCTIC
- CNPq
- CAPES
- FAPERJ
- FAPESP
- INCT-IQ
- International Institute of Physics (IIP) at Natal
- Royal Society, through the University Research Fellowship UHQT
- European Union's Horizon 2020 Research and Innovation Programme under the Marie Sklodowska-Curie Action OPERACQC [661338]
- Foundational Questions Institute [FQXi-RFP-1601]
- Perimeter Institute for Theoretical Physics
- Government of Canada through the Department of Innovation, Science and Economic Development Canada
- Province of Ontario through the Ministry of Research, Innovation and Science
- Marie Curie Actions (MSCA) [661338] Funding Source: Marie Curie Actions (MSCA)
- EPSRC [EP/K034480/1] Funding Source: UKRI
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We develop a unified approach to classical, quantum and post-quantum steering. The framework is based on uncharacterised (black-box) parties performing quantum measurements on their share of a (possibly unphysical) quantum state, and its starting point is the characterisation of general no-signalling assemblages via non-positive local hidden-state models, which will be defined in this work. By developing a connection to entanglement witnesses, this formalism allows for new definitions of families of assemblages, in particular via (i) non-decomposable positive maps and (ii) unextendible product bases. The former proves to be useful for constructing post-quantum assemblages with the built-in feature of yielding only quantum correlations in Bell experiments, while the latter always gives certifiably post-quantum assemblages. Finally, our framework is equipped with an inherent quantifier of post-quantum steering, which we call the negativity of post-quantum steering. We postulate that post-quantum steering should not increase under one-way quantum operations from the steered parties to the steering parties, and we show that, in this sense, the negativity of post-quantum steering is a convex post-quantum-steering monotone.
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