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翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Category of finite-dimensional Hilbert spaces ： ウィキペディア英語版 Category of finite-dimensional Hilbert spaces In mathematics, the category FdHilb has all finite-dimensional Hilbert spaces for objects and the linear transformations between them as morphisms. ==Properties== This category * is monoidal, * possesses finite biproducts, and * is dagger compact. According to a theorem of Selinger, the category of finite-dimensional Hilbert spaces is complete in the dagger compact category.〔P. Selinger, ''( Finite dimensional Hilbert spaces are complete for dagger compact closed categories )'', Proceedings of the 5th International Workshop on Quantum Programming Languages, Reykjavik (2008).〕〔M. Hasegawa, M. Hofmann and G. Plotkin, "Finite dimensional vector spaces are complete for traced symmetric monoidal categories", LNCS 4800, (2008), pp. 367–385.〕 Many ideas from Hilbert spaces, such as the no-cloning theorem, hold in general for dagger compact categories. See that article for additional details. 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Category of finite-dimensional Hilbert spaces」の詳細全文を読む スポンサード リンク 翻訳と辞書 : 翻訳のためのインターネットリソース Copyright(C) kotoba.ne.jp 1997-2016. All Rights Reserved.