TY - JOUR
T1 - Schrödinger uncertainty relation and convexity for the monotone pair skew information
AU - Ko, Chul Ki
AU - Hyun, Jae YOO
PY - 2014/3
Y1 - 2014/3
N2 - Furuichi and Yanagi showed a Schrödinger uncertainty relation for the Wigner-Yanase-Dyson skew information, which is a special monotone pair skew information. In this paper, we give a Schrödinger uncertainty relation based on a monotone pair skew information, and extend the result of Furuichi and Yanagi. Moreover, we show that some monotone pair skew information becomes a metric adjusted skew information and therefore the convexity of it follows from known results.
AB - Furuichi and Yanagi showed a Schrödinger uncertainty relation for the Wigner-Yanase-Dyson skew information, which is a special monotone pair skew information. In this paper, we give a Schrödinger uncertainty relation based on a monotone pair skew information, and extend the result of Furuichi and Yanagi. Moreover, we show that some monotone pair skew information becomes a metric adjusted skew information and therefore the convexity of it follows from known results.
KW - Metric adjusted skew information
KW - Monotone pair skew information
KW - Schrödinger uncertainty relation
KW - Wigner-Yanase-Dyson skew information
UR - http://www.scopus.com/inward/record.url?scp=84899003172&partnerID=8YFLogxK
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U2 - 10.2748/tmj/1396875665
DO - 10.2748/tmj/1396875665
M3 - Article
AN - SCOPUS:84899003172
SN - 0040-8735
VL - 66
SP - 107
EP - 117
JO - Tohoku Mathematical Journal
JF - Tohoku Mathematical Journal
IS - 1
ER -