2014/11/30 by Yeong-Cherng Liang, Denis Rosset, Jean-Daniel Bancal +3 · 1 citation
Computer Science · Mathematics · Physics and Astronomy · #Bell state #Bell test experiments #Bell's theorem #Computer science #Dimension (graph theory) #Inequality #Local hidden variable theory #Mathematical analysis #Mathematical economics #Mathematics #Outcome (game theory) #Physics #Pure mathematics #Quantum #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum correlation #Quantum discord #Quantum entanglement #Quantum mechanics #Quantum nonlocality #Set (abstract data type) #Theoretical physics #quant-ph
paper · pdf · doi:10.1103/physrevlett.114.190401
published as Phys. Rev. Lett. 114, 190401 (2015) · v2: Essentially published version, but with a typo in Table II concerning the entanglement depth certifiable by our witness corrected; v1: 4+8 pages, 1 figure, 6 tables (this is [33] of arXiv:1411.4656). Comments welcomed!
openalex publication_date 2015/05/12 · arxiv created 2018/07/01 · arxiv updated 2018/07/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We present a simple family of Bell inequalities applicable to a scenario involving arbitrarily many parties, each of which performs two binary-outcome measurements. We show that these inequalities are members of the complete set of full-correlation Bell inequalities discovered by Werner-Wolf-Żukowski-Brukner. For scenarios involving a small number of parties, we further verify that these inequalities are facet defining for the convex set of Bell-local correlations. Moreover, we show that the amount of quantum violation of these inequalities naturally manifests the extent to which the underlying system is genuinely many-body entangled. In other words, our Bell inequalities, when supplemented with the appropriate quantum bounds, naturally serve as device-independent witnesses for entanglement depth, allowing one to certify genuine k-partite entanglement in an arbitrary n≥k-partite scenario without relying on any assumption about the measurements being performed, or the dimension of the underlying physical system. A brief comparison is made between our witnesses and those based on some other Bell inequalities, as well as quantum Fisher information. A family of witnesses for genuine k-partite nonlocality applicable to an arbitrary n≥k-partite scenario based on our Bell inequalities is also presented.