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.
In: Letters in Mathematical Physics, Vol. 93, No. 1, 2010, p. 1-13.Research output: Contribution to journal › Journal article › Research › peer-review
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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