Quantifying Einstein-podolsky-rosen steering

Paul Skrzypczyk, Miguel Navascués, Daniel Cavalcanti*

*Corresponding author for this work

Research output: Contribution to journalArticle (Academic Journal)peer-review

268 Citations (Scopus)


Einstein-Podolsky-Rosen steering is a form of bipartite quantum correlation that is intermediate between entanglement and Bell nonlocality. It allows for entanglement certification when the measurements performed by one of the parties are not characterized (or are untrusted) and has applications in quantum key distribution. Despite its foundational and applied importance, Einstein-Podolsky-Rosen steering lacks a quantitative assessment. Here we propose a way of quantifying this phenomenon and use it to study the steerability of several quantum states. In particular, we show that every pure entangled state is maximally steerable and the projector onto the antisymmetric subspace is maximally steerable for all dimensions; we provide a new example of one-way steering and give strong support that states with positive-partial transposition are not steerable.

Original languageEnglish
Article number180404
JournalPhysical Review Letters
Issue number18
Publication statusPublished - 8 May 2014


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