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Uncertainty Inequalities as Entanglement Criteria for Negative Partial-Transpose States

Uncertainty Inequalities as Entanglement Criteria for Negative Partial-Transpose States

In this Letter, we show that the fulfillment of uncertainty relations is a sufficient criterion for a quantum-mechanically permissible state. We specifically construct two pseudospin observables for an arbitrary nonpositive Hermitian matrix whose uncertainty relation is violated. This method enables us to systematically derive separability conditions for all negative partial-transpose …