翻訳と辞書 Words near each other ・ Schmutz (film) ・ Schmidt (Martian crater) ・ Schmidt (singer) ・ Schmidt (surname) ・ Schmidt (volcano) ・ Schmidt Airport ・ Schmidt Artist Lofts ・ Schmidt Baking Company ・ Schmidt Block ・ Schmidt Brewery ・ Schmidt camera ・ Schmidt Corner, Wisconsin ・ Schmidt corrector plate ・ Schmidt coupling ・ Schmidt decision ・ Schmidt decomposition ・ Schmidt Family Foundation ・ Schmidt Farmhouse ・ Schmidt Field House ・ Schmidt Glacier ・ Schmidt hammer ・ Schmidt hammer lassen architects ・ Schmidt Hills ・ Schmidt House ・ Schmidt Island ・ Schmidt Lake ・ Schmidt Lake (Nova Scotia) ・ Schmidt Lake (Wright County, Minnesota) ・ Schmidt Lithography Co. Clock Tower ・ Schmidt M1882 Dictionary Lists mini英和辞書 mini和英辞書 Webster 1913 Latin-English FOLDOC Wikipedia English ウィキペディア

翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Schmidt decomposition ： ウィキペディア英語版 Schmidt decomposition In linear algebra, the Schmidt decomposition (named after its originator Erhard Schmidt) refers to a particular way of expressing a vector in the tensor product of two inner product spaces. It has numerous applications in quantum information theory, for example in entanglement characterization and in state purification, and plasticity. ==Theorem== Let $H\_1$ and $H\_2$ be Hilbert spaces of dimensions ''n'' and ''m'' respectively. Assume $n\; \backslash geq\; m$. For any vector $w$ in the tensor product $H\_1\; \backslash otimes\; H\_2$, there exist orthonormal sets $\backslash \; \backslash subset\; H\_1$ and $\backslash \; \backslash subset\; H\_2$ such that $w=\; \backslash sum\_\; ^m\; \backslash alpha\; \_i\; u\_i\; \backslash otimes\; v\_i$, where the scalars $\backslash alpha\_i$ are real, non-negative, and, as a set, uniquely determined by $w$. 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「Schmidt decomposition」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.