A tensor norm approach to quantum compatibility

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Standard

A tensor norm approach to quantum compatibility. / Bluhm, Andreas; Nechita, Ion.

I: Journal of Mathematical Physics, Bind 63, Nr. 6, 062201, 2022.

Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt

Harvard

Bluhm, A & Nechita, I 2022, 'A tensor norm approach to quantum compatibility', Journal of Mathematical Physics, bind 63, nr. 6, 062201. https://doi.org/10.1063/5.0089770

APA

Bluhm, A., & Nechita, I. (2022). A tensor norm approach to quantum compatibility. Journal of Mathematical Physics, 63(6), [062201]. https://doi.org/10.1063/5.0089770

Vancouver

Bluhm A, Nechita I. A tensor norm approach to quantum compatibility. Journal of Mathematical Physics. 2022;63(6). 062201. https://doi.org/10.1063/5.0089770

Author

Bluhm, Andreas ; Nechita, Ion. / A tensor norm approach to quantum compatibility. I: Journal of Mathematical Physics. 2022 ; Bind 63, Nr. 6.

Bibtex

@article{a9b9345428b343f6adef2fc4501b592b,
title = "A tensor norm approach to quantum compatibility",
abstract = " Measurement incompatibility is one of the most striking examples of how quantum physics is different from classical physics. Two measurements are incompatible if they cannot arise via classical post-processing from a third one. A natural way to quantify incompatibility is in terms of noise robustness. In the present article, we review recent results on the maximal noise robustness of incompatible measurements, which have been obtained by the present authors using free spectrahedra, and rederive them using tensor norms. In this way, we make them accessible to a broader audience from quantum information theory and mathematical physics and contribute to the fruitful interactions between Banach space theory and quantum information theory. We also describe incompatibility witnesses using tensor norm and matrix convex set duality, emphasizing the relation between the different notions of witnesses. ",
keywords = "quant-ph, math-ph, math.MP",
author = "Andreas Bluhm and Ion Nechita",
note = "18 pages, 1 figure",
year = "2022",
doi = "10.1063/5.0089770",
language = "English",
volume = "63",
journal = "Journal of Mathematical Physics",
issn = "0022-2488",
publisher = "A I P Publishing LLC",
number = "6",

}

RIS

TY - JOUR

T1 - A tensor norm approach to quantum compatibility

AU - Bluhm, Andreas

AU - Nechita, Ion

N1 - 18 pages, 1 figure

PY - 2022

Y1 - 2022

N2 - Measurement incompatibility is one of the most striking examples of how quantum physics is different from classical physics. Two measurements are incompatible if they cannot arise via classical post-processing from a third one. A natural way to quantify incompatibility is in terms of noise robustness. In the present article, we review recent results on the maximal noise robustness of incompatible measurements, which have been obtained by the present authors using free spectrahedra, and rederive them using tensor norms. In this way, we make them accessible to a broader audience from quantum information theory and mathematical physics and contribute to the fruitful interactions between Banach space theory and quantum information theory. We also describe incompatibility witnesses using tensor norm and matrix convex set duality, emphasizing the relation between the different notions of witnesses.

AB - Measurement incompatibility is one of the most striking examples of how quantum physics is different from classical physics. Two measurements are incompatible if they cannot arise via classical post-processing from a third one. A natural way to quantify incompatibility is in terms of noise robustness. In the present article, we review recent results on the maximal noise robustness of incompatible measurements, which have been obtained by the present authors using free spectrahedra, and rederive them using tensor norms. In this way, we make them accessible to a broader audience from quantum information theory and mathematical physics and contribute to the fruitful interactions between Banach space theory and quantum information theory. We also describe incompatibility witnesses using tensor norm and matrix convex set duality, emphasizing the relation between the different notions of witnesses.

KW - quant-ph

KW - math-ph

KW - math.MP

U2 - 10.1063/5.0089770

DO - 10.1063/5.0089770

M3 - Journal article

VL - 63

JO - Journal of Mathematical Physics

JF - Journal of Mathematical Physics

SN - 0022-2488

IS - 6

M1 - 062201

ER -

ID: 312631739