2014/04/30 by D. A. Evans, Howard M. Wiseman, H. M. Wiseman · 51 citations
Computer Science · Mathematics · Physics and Astronomy · #Computer science #EPR paradox #Einstein #Electron paramagnetic resonance #Limit (mathematics) #Mathematical analysis #Mathematics #Physics #Quantum #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum entanglement #Quantum mechanics #Qubit #Theoretical physics #quant-ph
paper · pdf · doi:10.1103/physreva.90.012114
published in Physical Review A 90(1) (American Physical Society) · 15 pages, 11 Figures
openalex publication_date 2014/07/25 · arxiv created 2014/08/04 · arxiv updated 2014/08/05 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
It has been shown in earlier works that the vertices of Platonic solids are good measurement choices for tests of Einstein-Podolsky-Rosen (EPR)-steering using isotropically entangled pairs of qubits. Such measurements are regularly spaced, and measurement diversity is a good feature for making EPR-steering inequalities easier to violate in the presence of experimental imperfections. However, such measurements are provably suboptimal. Here, we develop a method for devising optimal strategies for tests of EPR-steering, in the sense of being most robust to mixture and inefficiency (while still closing the detection loophole, of course), for a given number n of measurement settings. We allow for arbitrary measurement directions, and arbitrary weightings of the outcomes in the EPR-steering inequality. This is a difficult optimization problem for large n, so we also consider more practical ways of constructing near-optimal EPR-steering inequalities in this limit.