Metric-adjusted skew information: Convexity and restricted forms of superadditivity

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Metric-adjusted skew information : Convexity and restricted forms of superadditivity. / Liang, Cai; Hansen, Frank.

I: Letters in Mathematical Physics, Bind 93, Nr. 1, 2010, s. 1-13.

Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt

Harvard

Liang, C & Hansen, F 2010, 'Metric-adjusted skew information: Convexity and restricted forms of superadditivity', Letters in Mathematical Physics, bind 93, nr. 1, s. 1-13. https://doi.org/10.1007/s11005-010-0396-2

APA

Liang, C., & Hansen, F. (2010). Metric-adjusted skew information: Convexity and restricted forms of superadditivity. Letters in Mathematical Physics, 93(1), 1-13. https://doi.org/10.1007/s11005-010-0396-2

Vancouver

Liang C, Hansen F. Metric-adjusted skew information: Convexity and restricted forms of superadditivity. Letters in Mathematical Physics. 2010;93(1):1-13. https://doi.org/10.1007/s11005-010-0396-2

Author

Liang, Cai ; Hansen, Frank. / Metric-adjusted skew information : Convexity and restricted forms of superadditivity. I: Letters in Mathematical Physics. 2010 ; Bind 93, Nr. 1. s. 1-13.

Bibtex

@article{eeceea60837e11df928f000ea68e967b,
title = "Metric-adjusted skew information: Convexity and restricted forms of superadditivity",
abstract = "We give a truly elementary proof of the convexity of metric-adjusted skew information following an idea of Effros. We extend earlier results of weak forms of superadditivity to general metric-adjusted skew information. Recently, Luo and Zhang introduced the notion of semi-quantum states on a bipartite system and proved superadditivity of the Wigner-Yanase-Dyson skew informations for such states. We extend this result to the general metric-adjusted skew information. We finally show that a recently introduced extension to parameter values 1 < p = 2 of the WYD-information is a special case of (unbounded) metric-adjusted skew information.",
keywords = "Faculty of Social Sciences, Wigner–Yanase–Dyson skew information, monotone metric, metric-adjusted skew information, subadditivity",
author = "Cai Liang and Frank Hansen",
year = "2010",
doi = "10.1007/s11005-010-0396-2",
language = "English",
volume = "93",
pages = "1--13",
journal = "Letters in Mathematical Physics",
issn = "0377-9017",
publisher = "Springer",
number = "1",

}

RIS

TY - JOUR

T1 - Metric-adjusted skew information

T2 - Convexity and restricted forms of superadditivity

AU - Liang, Cai

AU - Hansen, Frank

PY - 2010

Y1 - 2010

N2 - We give a truly elementary proof of the convexity of metric-adjusted skew information following an idea of Effros. We extend earlier results of weak forms of superadditivity to general metric-adjusted skew information. Recently, Luo and Zhang introduced the notion of semi-quantum states on a bipartite system and proved superadditivity of the Wigner-Yanase-Dyson skew informations for such states. We extend this result to the general metric-adjusted skew information. We finally show that a recently introduced extension to parameter values 1 < p = 2 of the WYD-information is a special case of (unbounded) metric-adjusted skew information.

AB - We give a truly elementary proof of the convexity of metric-adjusted skew information following an idea of Effros. We extend earlier results of weak forms of superadditivity to general metric-adjusted skew information. Recently, Luo and Zhang introduced the notion of semi-quantum states on a bipartite system and proved superadditivity of the Wigner-Yanase-Dyson skew informations for such states. We extend this result to the general metric-adjusted skew information. We finally show that a recently introduced extension to parameter values 1 < p = 2 of the WYD-information is a special case of (unbounded) metric-adjusted skew information.

KW - Faculty of Social Sciences

KW - Wigner–Yanase–Dyson skew information

KW - monotone metric

KW - metric-adjusted skew information

KW - subadditivity

U2 - 10.1007/s11005-010-0396-2

DO - 10.1007/s11005-010-0396-2

M3 - Journal article

VL - 93

SP - 1

EP - 13

JO - Letters in Mathematical Physics

JF - Letters in Mathematical Physics

SN - 0377-9017

IS - 1

ER -

ID: 20573367