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On the Impossibility to Extend Triples of Mutually Unbiased Product Bases in Dimension Six

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On the Impossibility to Extend Triples of Mutually Unbiased Product Bases in Dimension Six. / McNulty, Daniel; Weigert, Stefan.

In: INTERNATIONAL JOURNAL OF QUANTUM INFORMATION, Vol. 10, No. 5, 1250056, 11.09.2012.

Research output: Contribution to journalArticlepeer-review

Harvard

McNulty, D & Weigert, S 2012, 'On the Impossibility to Extend Triples of Mutually Unbiased Product Bases in Dimension Six', INTERNATIONAL JOURNAL OF QUANTUM INFORMATION, vol. 10, no. 5, 1250056. https://doi.org/10.1142/S0219749912500566

APA

McNulty, D., & Weigert, S. (2012). On the Impossibility to Extend Triples of Mutually Unbiased Product Bases in Dimension Six. INTERNATIONAL JOURNAL OF QUANTUM INFORMATION, 10(5), [1250056]. https://doi.org/10.1142/S0219749912500566

Vancouver

McNulty D, Weigert S. On the Impossibility to Extend Triples of Mutually Unbiased Product Bases in Dimension Six. INTERNATIONAL JOURNAL OF QUANTUM INFORMATION. 2012 Sep 11;10(5). 1250056. https://doi.org/10.1142/S0219749912500566

Author

McNulty, Daniel ; Weigert, Stefan. / On the Impossibility to Extend Triples of Mutually Unbiased Product Bases in Dimension Six. In: INTERNATIONAL JOURNAL OF QUANTUM INFORMATION. 2012 ; Vol. 10, No. 5.

Bibtex - Download

@article{038930ce625a449d8e5f93a9e5648c92,
title = "On the Impossibility to Extend Triples of Mutually Unbiased Product Bases in Dimension Six",
abstract = "An analytic proof is given which shows that it is impossible to extend any triple of mutually unbiased (MU) product bases in dimension six by a single MU vector. Furthermore, the 16 states obtained by removing two orthogonal states from any MU product triple cannot figure in a (hypothetical) complete set of seven MU bases. These results follow from exploiting the structure of MU product bases in a novel fashion, and they are among the strongest ones obtained for MU bases in dimension six without recourse to computer algebra.",
keywords = "Quantum Physics (quant-ph), Mutually unbiased bases; , complementarity; , finite-dimensional quantum systems",
author = "Daniel McNulty and Stefan Weigert",
year = "2012",
month = sep,
day = "11",
doi = "10.1142/S0219749912500566",
language = "English",
volume = "10",
journal = "INTERNATIONAL JOURNAL OF QUANTUM INFORMATION",
issn = "0219-7499",
publisher = "World Scientific Publishing Co. Pte Ltd",
number = "5",

}

RIS (suitable for import to EndNote) - Download

TY - JOUR

T1 - On the Impossibility to Extend Triples of Mutually Unbiased Product Bases in Dimension Six

AU - McNulty, Daniel

AU - Weigert, Stefan

PY - 2012/9/11

Y1 - 2012/9/11

N2 - An analytic proof is given which shows that it is impossible to extend any triple of mutually unbiased (MU) product bases in dimension six by a single MU vector. Furthermore, the 16 states obtained by removing two orthogonal states from any MU product triple cannot figure in a (hypothetical) complete set of seven MU bases. These results follow from exploiting the structure of MU product bases in a novel fashion, and they are among the strongest ones obtained for MU bases in dimension six without recourse to computer algebra.

AB - An analytic proof is given which shows that it is impossible to extend any triple of mutually unbiased (MU) product bases in dimension six by a single MU vector. Furthermore, the 16 states obtained by removing two orthogonal states from any MU product triple cannot figure in a (hypothetical) complete set of seven MU bases. These results follow from exploiting the structure of MU product bases in a novel fashion, and they are among the strongest ones obtained for MU bases in dimension six without recourse to computer algebra.

KW - Quantum Physics (quant-ph)

KW - Mutually unbiased bases;

KW - complementarity;

KW - finite-dimensional quantum systems

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U2 - 10.1142/S0219749912500566

DO - 10.1142/S0219749912500566

M3 - Article

VL - 10

JO - INTERNATIONAL JOURNAL OF QUANTUM INFORMATION

JF - INTERNATIONAL JOURNAL OF QUANTUM INFORMATION

SN - 0219-7499

IS - 5

M1 - 1250056

ER -