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Geometric Bell-like inequalities for steering
Marek Żukowski, Arijit Dutta, Zhi Yin
Many of the standard Bell inequalities (e.g., CHSH) are not effective for detection of quantum correlations which allow for steering, because for a wide range of such correlations…
Quantum Byzantine Agreement via Hardy correlations and entanglement swapping
Ramij Rahaman, Marcin Wieśniak, Marek Żukowski
We present a device-independent quantum scheme for the {\em Byzantine Generals} problem. The protocol is for three parties. Party is to send two identical one bit messages to p…
Two Copies of the Einstein-Podolsky-Rosen State of Light Lead to Refutation of EPR Ideas
Krzysztof Rosołek, Magdalena Stobińska, Marcin Wieśniak +1
Bell's theorem applies to the normalizable approximations of the original Einstein-Podolsky-Rosen (EPR) state. The constructions of the proof require measurements difficult to perf…
Detection efficiency loophole in Pusey-Barrett-Rudolph theorem
Arijit Dutta, Marcin Pawlowski, Marek Zukowski
Detection efficiency loophole poses a significant problem for experimental tests of Bell inequalities. Recently discovered Pusey-Barrett-Rudolph (PBR) theorem suffers from the same…
Geometric chained inequalities for higher-dimensional systems
Marek Żukowski, Arijit Dutta
For systems of an arbitrary dimension, a theory of geometric chained Bell inequalities is presented. The approach is based on chained inequalities derived by Pykacz and Santos. For…
Beyond Gisin's Theorem and its Applications: Violation of Local Realism by Two-Party Einstein-Podolsky-Rosen Steering
Jing-Ling Chen, Hong-Yi Su, Zhen-Peng Xu +5
We demonstrate here that for a given mixed multi-qubit state if there are at least two observers for whom mutual Einstein-Podolsky-Rosen steering is possible, i.e. each observer is…