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Phys Rev Lett. 2008 Sep 26;101(13):130402. Epub 2008 Sep 23.

Uncertainty inequalities as entanglement criteria for negative partial-transpose States.

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  • 1Department of Physics, Texas A & M University at Qatar, Doha, Qatar. hyunchul.nha@qatar.tamu.edu

Abstract

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 states in experimentally accessible forms. In particular, generalized entanglement criteria are derived from the Schrödinger-Robertson inequalities for bipartite continuous-variable states.

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