Einstein-Podolsky-Rosen steering inequalities from entropic uncertainty relations
By James Schneeloch, C. Broadbent, Stephen P. Walborn, Eric Cavalcanti, John C. Howell. 2013
239 citations recorded by the source corpus.
We use entropic uncertainty relations to formulate inequalities that witness Einstein-PodolskyRosen (EPR) steering correlations in diverse quantum systems. We then use these inequalities to formulate symmetric EPR-steering inequalities using the mutual information. We explore the diering natures of the correlations captured by one-way and symmetric steering inequalities, and examine the possibility of exclusive one-way steerability in two-qubit states. Furthermore, we show that steering inequalities can be extended to generalized positive operator valued measures (POVMs), and we also derive hybrid-steering inequalities between alternate degrees of freedom.
Subfields: Artificial Intelligence, Atomic and Molecular Physics, and Optics, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/01d328d412151f03dad51af3eafb02bb55eb8ee1
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In Artificial Intelligence
- Otfried Gühne
- H. C. Nguyen
- Roope Uola
- Ana C. S. Costa
- Daniel Cavalcanti
- Antonio Acín
- Tamás Vértesi
- Nicolas Brunner
In Atomic and Molecular Physics, and Optics
- Otfried Gühne
- H. C. Nguyen
- Roope Uola
- Ana C. S. Costa
- Daniel Cavalcanti
- Antonio Acín
- Tamás Vértesi
- Nicolas Brunner
In Mathematical Physics
Citations in the corpus
- Inequivalence of entanglement, steering, and Bell nonlocality for general measurements (2015, methodology): “[6] J.”
- Quantum steering (2019, methodology): “A systematic approach using entropic uncertainty relations (EURs) has been proposed in (Walborn et al., 2011) for continuous variable systems and tailored to discrete systems by (Schneeloch et al., 2013).”