Single Bell inequality to detect genuine nonlocality in three-qubit genuinely entangled states
arXiv:2406.14078 · doi:10.1088/1367-2630/ad7753
Abstract
It remains an open question whether every pure multipartite state that is genuinely entangled is also genuinely nonlocal. Recently, a new general construction of Bell inequalities allowing the detection of genuine multipartite nonlocality (GMNL) in quantum states was proposed in [F. J. Curchod, M. L. Almeida, and A. Acin, New J. Phys. 21, 023016 (2019) with the aim of addressing the above problem. Here we show how, in a simple manner, one can improve this construction to deliver tighter Bell inequalities for detection of GMNL. Remarkably, we then prove one of the improved Bell inequalities to be powerful enough to detect GMNL in every three-qubit genuinely entangled state. We also generalize some of these inequalities to detect not only GMNL but also nonlocality depth in multipartite states and we present a possible way of generalizing them to the case of more outcomes.
arXiv comment10 pages, 1 figure
References in corpus (24)
- Device-independent security of quantum cryptography against collective attacks
- Random Numbers Certified by Bell's Theorem
- Bell inequalities for arbitrarily high dimensional systems
- Non-local correlations as an information theoretic resource
- Self-testing of quantum systems: a review
- Bilocal versus non-bilocal correlations in entanglement swapping experiments
- The definition of multipartite nonlocality
- Multipartite generalisation of the Schmidt decomposition
- Sufficient conditions for three-particle entanglement and their tests in recent experiments
- Maximal violation of the CGLMP inequality for infinite dimensional states
- Local hidden--variable models for entangled quantum states
- Quantifying multipartite nonlocality
- Bell inequalities tailored to maximally entangled states
- Genuinely multipartite entangled quantum states with fully local hidden variable models and hidden multipartite nonlocality
- Genuine multipartite nonlocality is intrinsic to quantum networks
- Entanglement and nonlocality are inequivalent for any number of particles
- Fully nonlocal, monogamous, and random genuinely multipartite quantum correlations
- Test of Genuine Multipartite Nonlocality Without Inequality
- Bell's inequality for n spin-s particles
- Bell inequalities tailored to the Greenberger-Horne-Zeilinger states of arbitrary local dimension
- A tight Tsirelson inequality for infinitely many outcomes
- Optimal tests of genuine multipartite nonlocality
- A versatile construction of Bell inequalities for the multipartite scenario
- Tripartite entangled pure states are tripartite nonlocal