Uncertainty inequalities as entanglement criteria for negative partial-transpose states

Hyunchul Nha, M. Suhail Zubairy

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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.

Original languageEnglish
Article number130402
JournalPhysical Review Letters
Volume101
Issue number13
DOIs
Publication statusPublished - 23 Sep 2008

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ASJC Scopus subject areas

  • Physics and Astronomy(all)

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