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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 LOCC ： ウィキペディア英語版 LOCC LOCC, or local operations and classical communication, is a method in quantum information theory where a local (product) operation is performed on part of the system, and where the result of that operation is "communicated" classically to another part where usually another local operation is performed. An example of this is distinguishing two Bell pairs, such as the following: :$$ |\psi_1\rangle = \frac^ instead of the product space $\backslash mathbb^2\backslash otimes\backslash mathbb^n$. ==Entanglement manipulation== Nielsen 〔Phys. Rev. Lett. 83, 436 - 439 (1999)〕 has derived a general condition to determine whether one pure state of a bipartite quantum system may be transformed into another using only LOCC. Full details may be found in the paper referenced earlier, the results are sketched out here. Consider two particles in a Hilbert space of dimension $d$ with particle states $|\backslash psi\backslash rangle$ and $|\backslash phi\backslash rangle$ with Schmidt decompositions :$$ |\psi\rangle=\sum_i\sqrt|i_A\rangle\otimes|i_B\rangle :$$ |\phi\rangle=\sum_i\sqrt|i_A'\rangle\otimes|i_B'\rangle The $\backslash sqrt$'s are known as Schmidt coefficients. If they are ordered largest to smallest (i.e. with $\backslash lambda\_1>\backslash lambda\_d$) then $|\backslash psi\backslash rangle$ can only be transformed into $|\backslash phi\backslash rangle$ using only local operations if and only if for all $k$ in the range $1\backslash leq\; k\; \backslash leq\; d$ :$$ \sum_^k\lambda_i\leq\sum_^k\lambda_i' In more concise notation: :$$ |\psi\rangle\rightarrow|\phi\rangle\quad\text\quad\lambda \prec \lambda' This is a more restrictive condition that local operations cannot increase the degree of entanglement. It is quite possible that converting between $|\backslash psi\backslash rangle$ and $|\backslash phi\backslash rangle$ in either direction is impossible because neither set of Schmidt coefficients majorises the other. For large $d$ if all Schmidt coefficients are non-zero then the probability of one set of coefficients majorising the other becomes negligible. Therefore for large $d$ the probability of any arbitrary state being converted into another becomes negligible. 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「LOCC」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.