数理解析研究所講究録
Non-hermitian extension of uncertainty relation
Kenjiro Yanagi, 研二郎 柳
Abstract
which is known as the Wigner-Yanase-Dyson skew information. Recently it is shown that these skew informations are connected to special choices of quantum Fisher information in [3]. The family of all quantum Fisher informations is parametrized by a certain class of operator monotone functions Fop which were justified in [9]. The Wigner-Yanase skew information and Wigner-Yanase-Dyson skew information are given by the following operator monotone functions