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A formalism for steering with local quantum measurements

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A formalism for steering with local quantum measurements. / Sainz, Ana Belen; Aolita, L.; Piani, M.; Hoban, M. J.; Skrzypczyk, P.

In: New Journal of Physics, Vol. 20, No. 8, 083040, 08.2018.

Research output: Contribution to journalArticle

Harvard

Sainz, AB, Aolita, L, Piani, M, Hoban, MJ & Skrzypczyk, P 2018, 'A formalism for steering with local quantum measurements', New Journal of Physics, vol. 20, no. 8, 083040. https://doi.org/10.1088/1367-2630/aad8df

APA

Sainz, A. B., Aolita, L., Piani, M., Hoban, M. J., & Skrzypczyk, P. (2018). A formalism for steering with local quantum measurements. New Journal of Physics, 20(8), [083040]. https://doi.org/10.1088/1367-2630/aad8df

Vancouver

Sainz AB, Aolita L, Piani M, Hoban MJ, Skrzypczyk P. A formalism for steering with local quantum measurements. New Journal of Physics. 2018 Aug;20(8). 083040. https://doi.org/10.1088/1367-2630/aad8df

Author

Sainz, Ana Belen ; Aolita, L. ; Piani, M. ; Hoban, M. J. ; Skrzypczyk, P. / A formalism for steering with local quantum measurements. In: New Journal of Physics. 2018 ; Vol. 20, No. 8.

Bibtex

@article{5b6f4cb8ec054b2f8e32ec8a7a5f51eb,
title = "A formalism for steering with local quantum measurements",
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, 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.",
keywords = "entanglement witnesses, EPR steering, quantum maps, quantum non-locality",
author = "Sainz, {Ana Belen} and L. Aolita and M. Piani and Hoban, {M. J.} and P. Skrzypczyk",
year = "2018",
month = "8",
doi = "10.1088/1367-2630/aad8df",
language = "English",
volume = "20",
journal = "New Journal of Physics",
issn = "1367-2630",
publisher = "IOP Publishing",
number = "8",

}

RIS - suitable for import to EndNote

TY - JOUR

T1 - A formalism for steering with local quantum measurements

AU - Sainz, Ana Belen

AU - Aolita, L.

AU - Piani, M.

AU - Hoban, M. J.

AU - Skrzypczyk, P.

PY - 2018/8

Y1 - 2018/8

N2 - 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.

AB - 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.

KW - entanglement witnesses

KW - EPR steering

KW - quantum maps

KW - quantum non-locality

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U2 - 10.1088/1367-2630/aad8df

DO - 10.1088/1367-2630/aad8df

M3 - Article

VL - 20

JO - New Journal of Physics

JF - New Journal of Physics

SN - 1367-2630

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M1 - 083040

ER -