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Purification of quantum state : ウィキペディア英語版 | Purification of quantum state In quantum mechanics, especially quantum information, purification refers to the fact that every mixed state acting on finite-dimensional Hilbert spaces can be viewed as the reduced state of some pure state. In purely linear algebraic terms, it can be viewed as a statement about positive-semidefinite matrices. == Statement ==
Let ρ be a density matrix acting on a Hilbert space of finite dimension ''n''. Then there exist a Hilbert space and a pure state such that the partial trace of with respect to : We say that is the purification of .
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「Purification of quantum state」の詳細全文を読む
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