Refined Tsirelson Bounds on Multipartite Bell Inequalities
arXiv:2406.16202 · doi:10.1103/PhysRevA.110.032435
Abstract
Despite their importance, there is an on-going challenge characterizing multipartite quantum correlations. The Svetlichny and Mermin-Klyshko (MK) inequalities present constraints on correlations in multipartite systems, a violation of which allows to classify the correlations by using the non-separability property. In this work we present refined Tsirelson (quantum) bounds on these inequalities, derived from inequalities stemming from a fundamental constraint, tightly akin to quantum uncertainty. Unlike the original, known inequalities, our bounds do not consist of a single constant point but rather depend on correlations in specific subsystems (being local correlations for our bounds on the Svetlichny operators and bipartite correlations for our bounds on the MK operators). We analyze concrete examples in which our bounds are strictly tighter than the known bounds.
8 pages, 3 figures, comments are welcome
References in corpus (26)
- Bell nonlocality
- Distributed Entanglement
- Violation of Bell inequalities by photons more than 10 km apart
- Measures and applications of quantum correlations
- Bell-type inequalities to detect true n-body non-separability
- Bell-type inequalities for partial separability in N-particle systems and quantum mechanical violations
- Experimental Test of Quantum Nonlocality in Four-photon Greenberger-Horne-Zeilinger Entanglement
- Security proof for cryptographic protocols based only on the monogamy of Bell's inequality violations
- Monogamy of quantum correlations - a review
- Experimental violation of Svetlichny's inequality
- Experimental test of Mermin inequalities on a 5-qubit quantum computer
- A Monogamy-of-Entanglement Game With Applications to Device-Independent Quantum Cryptography
- Quadratic Bell inequalities as tests for multipartite entanglement
- Monogamy of Correlations vs. Monogamy of Entanglement
- Quantum Key Distribution between N partners: optimal eavesdropping and Bell's inequalities
- Correlations as a resource in quantum thermodynamics
- Experimental Bell inequality violation without the postselection loophole
- Quantum Correlations and Global Coherence in Distributed Quantum Computing
- Relativistic independence bounds nonlocality
- Avoiding Loopholes with Hybrid Bell-Leggett-Garg Inequalities
- On the Significance of the Quantum Mechanical Covariance Matrix
- Local measurement uncertainties impose a limit on non-local quantum correlations
- Bounds on nonlocal correlations in the presence of signaling and their application to topological zero modes
- Multipartite quantum cryptography based on the violation of Svetlichny's inequality
- Correlation Minor Norms, Entanglement Detection and Discord
- Multipartite Entanglement Detection via Correlation Minor Norm