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Negativity (quantum mechanics) : ウィキペディア英語版
Negativity (quantum mechanics)
In quantum mechanics, negativity is a measure of quantum entanglement which is easy to compute. It is a measure deriving from the PPT criterion for separability. It has shown to be an entanglement monotone and hence a proper measure of entanglement.
==Definition==
The negativity of a subsystem A can be defined in terms of a density matrix \rho as:
:\mathcal(\rho) \equiv \frac
where:
* \rho^ is the partial transpose of \rho with respect to subsystem A
* ||X||_1 = \text|X| = \text \sqrt is the trace norm or the sum of the singular values of the operator X .
An alternative and equivalent definition is the absolute sum of the negative eigenvalues of \rho^:
: \mathcal(\rho) = \sum_i \frac}
where \lambda_i are all of the eigenvalues.

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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