A formalism for steering with local quantum measurements

Sainz, A B and Aolita, L and Piani, M and Hoban, M J and Skrzypczyk, P (2018) A formalism for steering with local quantum measurements. New Journal of Physics, 20. 083040. ISSN 1367-2630 (https://doi.org/10.1088/1367-2630/aad8df)

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Abstract

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. 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.

ORCID iDs

Sainz, A B, Aolita, L, Piani, M ORCID logoORCID: https://orcid.org/0000-0002-4698-9497, Hoban, M J and Skrzypczyk, P;
  • Item type:Article
    ID code:65057
    Dates:
    Date
    Event
    28 August 2018
    Published
    3 August 2018
    Accepted
    2017
    Submitted
    Subjects:Science > Physics
    Department:Faculty of Science > Physics
    Depositing user: Pure Administrator
    Date deposited:06 Aug 2018 15:26
    Last modified:11 Nov 2024 11:55
    Related URLs:
    URI:https://strathprints.strath.ac.uk/id/eprint/65057
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