@article{oai:tsukuba.repo.nii.ac.jp:00051922,
 author = {伊敷, 吾郎 and ISHIKI, Goro and Matsumoto, Takaki and Muraki, Hisayoshi},
 issue = {2},
 journal = {Physical review D},
 month = {Jul},
 note = {We consider the information metric and Berry connection in the context of noncommutative matrix geometry. We propose that these objects give a new method of characterizing the fuzzy geometry of matrices. We first give formal definitions of these geometric objects and then explicitly calculate them for the well-known matrix configurations of fuzzy S2 and fuzzy S4. We find that the information metrics are given by the usual round metrics for both examples, while the Berry connections coincide with the configurations of the Wu-Yang monopole and the Yang monopole for fuzzy S2 and fuzzy S4, respectively. Then, we demonstrate that the matrix configurations of fuzzy Sn (n=2, 4) can be understood as images of the embedding functions Sn→Rn+1 under the Berezin-Toeplitz quantization map. Based on this result, we also obtain a mapping rule for the Laplacian on fuzzy S4.},
 title = {Information metric, Berry connection, and Berezin-Toeplitz quantization for matrix geometry},
 volume = {98},
 year = {2018},
 yomi = {イシキ, ゴロウ}
}