Inequalities for quantum skew information

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Inequalities for quantum skew information. / Audenaert, Koenraad; Cai, Liang; Hansen, Frank.

I: Letters in Mathematical Physics, Bind 85, Nr. 2-3, 2008, s. 135-146.

Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt

Harvard

Audenaert, K, Cai, L & Hansen, F 2008, 'Inequalities for quantum skew information', Letters in Mathematical Physics, bind 85, nr. 2-3, s. 135-146. https://doi.org/10.1007/s11005-008-0269-0

APA

Audenaert, K., Cai, L., & Hansen, F. (2008). Inequalities for quantum skew information. Letters in Mathematical Physics, 85(2-3), 135-146. https://doi.org/10.1007/s11005-008-0269-0

Vancouver

Audenaert K, Cai L, Hansen F. Inequalities for quantum skew information. Letters in Mathematical Physics. 2008;85(2-3):135-146. https://doi.org/10.1007/s11005-008-0269-0

Author

Audenaert, Koenraad ; Cai, Liang ; Hansen, Frank. / Inequalities for quantum skew information. I: Letters in Mathematical Physics. 2008 ; Bind 85, Nr. 2-3. s. 135-146.

Bibtex

@article{d8b8c3f0904a11dd86a6000ea68e967b,
title = "Inequalities for quantum skew information",
abstract = "We study quantum information inequalities and show that the basic inequality between the quantum variance and the metric adjusted skew information generates all the multi-operator matrix inequalities or Robertson type determinant inequalities studied by a number of authors. We introduce an order relation on the set of functions representing quantum Fisher information that renders the set into a lattice with an involution. This order structure generates new inequalities for the metric adjusted skew informations. In particular, the Wigner-Yanase skew information is the maximal skew information with respect to this order structure in the set of Wigner-Yanase-Dyson skew informations.",
author = "Koenraad Audenaert and Liang Cai and Frank Hansen",
note = "JEL classification: C02",
year = "2008",
doi = "10.1007/s11005-008-0269-0",
language = "English",
volume = "85",
pages = "135--146",
journal = "Letters in Mathematical Physics",
issn = "0377-9017",
publisher = "Springer",
number = "2-3",

}

RIS

TY - JOUR

T1 - Inequalities for quantum skew information

AU - Audenaert, Koenraad

AU - Cai, Liang

AU - Hansen, Frank

N1 - JEL classification: C02

PY - 2008

Y1 - 2008

N2 - We study quantum information inequalities and show that the basic inequality between the quantum variance and the metric adjusted skew information generates all the multi-operator matrix inequalities or Robertson type determinant inequalities studied by a number of authors. We introduce an order relation on the set of functions representing quantum Fisher information that renders the set into a lattice with an involution. This order structure generates new inequalities for the metric adjusted skew informations. In particular, the Wigner-Yanase skew information is the maximal skew information with respect to this order structure in the set of Wigner-Yanase-Dyson skew informations.

AB - We study quantum information inequalities and show that the basic inequality between the quantum variance and the metric adjusted skew information generates all the multi-operator matrix inequalities or Robertson type determinant inequalities studied by a number of authors. We introduce an order relation on the set of functions representing quantum Fisher information that renders the set into a lattice with an involution. This order structure generates new inequalities for the metric adjusted skew informations. In particular, the Wigner-Yanase skew information is the maximal skew information with respect to this order structure in the set of Wigner-Yanase-Dyson skew informations.

U2 - 10.1007/s11005-008-0269-0

DO - 10.1007/s11005-008-0269-0

M3 - Journal article

VL - 85

SP - 135

EP - 146

JO - Letters in Mathematical Physics

JF - Letters in Mathematical Physics

SN - 0377-9017

IS - 2-3

ER -

ID: 6380739