2018/03/26 by Daniel Dilley, Eric Chitambar
Computer Science · Mathematics · Physics and Astronomy · #Bell's theorem #CHSH inequality #Detector #Economics #Inefficiency #Inequality #Mathematical analysis #Mathematics #Optics #Physics #Quantum #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum entanglement #Quantum mechanics #Quantum nonlocality #Statistical physics #Upper and lower bounds #quant-ph
paper · pdf · doi:10.1103/physreva.97.062313
published as Phys. Rev. A 97, 062313 (2018) · Added references to pre-existing work and hence revised the language suggesting originality of certain findings; also strengthened Theorem 1
arxiv created 2018/03/26 · openalex created_date 2018/04/06 · openalex publication_date 2018/06/08 · arxiv updated 2018/06/13 · openalex updated_date 2026/08/05
It is well-known that in certain scenarios weakly entangled states can generate stronger nonlocal effects than their maximally entangled counterparts. In this paper, we consider violations of the Clauser-Horne-Shimony-Holt (CHSH) inequality when one party has inefficient detectors, a scenario known as an asymmetric Bell experiment. For any fixed detection efficiency, we derive a simple upper bound on the entanglement needed to violate the inequality by more than some specified amount \ensuremathκ\ensuremath≥0. When \ensuremathκ=0, the amount of entanglement in all states violating the inequality goes to zero as the detection efficiency approaches 50% from above. We finally consider the scenario in which detection inefficiency arises for only one choice of local measurement. In this case, it is shown that the CHSH inequality can always be violated for any nonzero detection efficiency and any choice of noncommuting measurements.