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Range criterion
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Range criterion : ウィキペディア英語版
Range criterion
In quantum mechanics, in particular quantum information, the Range criterion is a necessary condition that a state must satisfy in order to be separable. In other words, it is a ''separability criterion''.
== The result ==

Consider a quantum mechanical system composed of ''n'' subsystems. The state space ''H'' of such a system is the tensor product of those of the subsystems, i.e. H = H_1 \otimes \cdots \otimes H_n.
For simplicity we will assume throughout that all relevant state spaces are finite-dimensional.
The criterion reads as follows: If ρ is a separable mixed state acting on ''H'', then the range of ρ is spanned by a set of product vectors.

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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