Uncertainty inequalities as entanglement criteria for negative partial-transpose states

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Nha, Hyunchul
Zubairy, M. Suhail
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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 pseudo-spin observables for an arbitrary non-positive 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 Schrodinger-Robertson inequalities for bipartite continuous-variable states.
Comment: 4 pages, published version with minor changes
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Quantum Physics
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