By the same authors

From the same journal

A Gleason-type theorem for qubits based on mixtures of projective measurements

Research output: Contribution to journalArticle

Standard

A Gleason-type theorem for qubits based on mixtures of projective measurements. / Weigert, Stefan Ludwig Otto; Wright, Victoria J.

In: Journal of Physics A: Mathematical and Theoretical, 18.12.2018.

Research output: Contribution to journalArticle

Harvard

Weigert, SLO & Wright, VJ 2018, 'A Gleason-type theorem for qubits based on mixtures of projective measurements', Journal of Physics A: Mathematical and Theoretical. https://doi.org/10.1088/1751-8121/aaf93d

APA

Weigert, S. L. O., & Wright, V. J. (2018). A Gleason-type theorem for qubits based on mixtures of projective measurements. Journal of Physics A: Mathematical and Theoretical. https://doi.org/10.1088/1751-8121/aaf93d

Vancouver

Weigert SLO, Wright VJ. A Gleason-type theorem for qubits based on mixtures of projective measurements. Journal of Physics A: Mathematical and Theoretical. 2018 Dec 18. https://doi.org/10.1088/1751-8121/aaf93d

Author

Weigert, Stefan Ludwig Otto ; Wright, Victoria J. / A Gleason-type theorem for qubits based on mixtures of projective measurements. In: Journal of Physics A: Mathematical and Theoretical. 2018.

Bibtex - Download

@article{e61ace75403b42ba88fdc70dc65b8415,
title = "A Gleason-type theorem for qubits based on mixtures of projective measurements",
abstract = "We derive Born's rule and the density-operator formalism for quantum systems with Hilbert spaces of dimension two or larger. Our extension of Gleason's theorem only relies upon the consistent assignment of probabilities to the outcomes of projective measurements and their classical mixtures. This assumption is significantly weaker than those required for existing Gleason-type theorems valid in dimension two.",
keywords = "quant-ph",
author = "Weigert, {Stefan Ludwig Otto} and Wright, {Victoria J}",
note = "{\circledC} 2019 IOP Publishing Ltd. This is an author-produced version of the published paper. Uploaded in accordance with the publisher’s self-archiving policy. Further copying may not be permitted; contact the publisher for details.",
year = "2018",
month = "12",
day = "18",
doi = "10.1088/1751-8121/aaf93d",
language = "English",
journal = "Journal of Physics A: Mathematical and Theoretical",
issn = "1751-8113",
publisher = "IOP Publishing Ltd.",

}

RIS (suitable for import to EndNote) - Download

TY - JOUR

T1 - A Gleason-type theorem for qubits based on mixtures of projective measurements

AU - Weigert, Stefan Ludwig Otto

AU - Wright, Victoria J

N1 - © 2019 IOP Publishing Ltd. This is an author-produced version of the published paper. Uploaded in accordance with the publisher’s self-archiving policy. Further copying may not be permitted; contact the publisher for details.

PY - 2018/12/18

Y1 - 2018/12/18

N2 - We derive Born's rule and the density-operator formalism for quantum systems with Hilbert spaces of dimension two or larger. Our extension of Gleason's theorem only relies upon the consistent assignment of probabilities to the outcomes of projective measurements and their classical mixtures. This assumption is significantly weaker than those required for existing Gleason-type theorems valid in dimension two.

AB - We derive Born's rule and the density-operator formalism for quantum systems with Hilbert spaces of dimension two or larger. Our extension of Gleason's theorem only relies upon the consistent assignment of probabilities to the outcomes of projective measurements and their classical mixtures. This assumption is significantly weaker than those required for existing Gleason-type theorems valid in dimension two.

KW - quant-ph

U2 - 10.1088/1751-8121/aaf93d

DO - 10.1088/1751-8121/aaf93d

M3 - Article

JO - Journal of Physics A: Mathematical and Theoretical

T2 - Journal of Physics A: Mathematical and Theoretical

JF - Journal of Physics A: Mathematical and Theoretical

SN - 1751-8113

ER -