Quantifying Einstein-Podolsky-Rosen steering.

By Paul Skrzypczyk, Miguel Navascués, Daniel Cavalcanti. Physical Review Letters, 2013

332 citations recorded by the source corpus.

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.

Subfields: Artificial Intelligence, Atomic and Molecular Physics, and Optics

View Paper: https://www.semanticscholar.org/paper/7de98bbeb2e283d0672d0023a338240d678df816

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Citations in the corpus

Quantum steering (2019, background): “The first quantification of steerability of an assemblage was proposed by (Skrzypczyk et al., 2014), known as steering weight.”
Quantum coherence and geometric quantum discord (2017, background): “…quantification of quantum features such as the best separable approximation of entangled states (Lewenstein and Sanpera, 1998), the steering weight (Skrzypczyk et al., 2014), and the measurement incompatibility weight (Skrzypczyk et al., 2014), Bu et al. (2018) proposed a similar measure of…”
Inequivalence of entanglement, steering, and Bell nonlocality for general measurements (2015, background): “where a|x are the operators characterizing the inequality (see [9] for details), and {σ uns a|x } an arbitrary unsteerable assemblage; notice that by redefining the operators a|x one can always set the bound of any steering inequality to zero.”