Non-classicality thresholds for multiqubit states - numerical analysis

Abstract

States that strongly violate Bell's inequalities are required in many quantum informational protocols as, for example, in cryptography, secret sharing and the reduction of communication complexity. We investigate families of such states with a numerical method which allows to reveal non-classicality even without direct knowledge of Bell's inequalities for the given problem. An extensive set of numerical results is presented and discussed.

8 pages, journal version

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Cited by in corpus (29)

• Bell nonlocality
• Semidefinite programming relaxations for quantum correlations
• Quantum metrology: Heisenberg limit with bound entanglement
• Entropic Steering Criteria: Applications to Bipartite and Tripartite Systems
• Genuine Multipartite Entanglement without Multipartite Correlations
• Multipartite nonlocality and random measurements
• Analysing quantum systems with randomised measurements
• Persistency of entanglement and nonlocality in multipartite quantum systems
• Solving Large-Scale Optimization Problems Related to Bell's Theorem
• Survey on the Bell nonlocality of a pair of entangled qudits
• Nonclassicality of pure two-qutrit entangled states
• Improved local models and new Bell inequalities via Frank-Wolfe algorithms
• Tripartite realism-based quantum nonlocality
• EPR Steering inequalities with Communication Assistance
• $k$-uniform mixed states
• Noise resistance of violation of local causality for pure three-qutrit entangled states
• Incompatible local hidden-variable models of quantum correlations
• Genuine $N$-partite entanglement without $N$-partite correlation functions
• Optimal tests of genuine multipartite nonlocality
• Strength and typicality of nonlocality in multisetting and multipartite Bell scenarios
• More non-locality in the three-qubit Greenberger-Horne-Zeilinger state
• Symmetric multipartite Bell inequalities via Frank-Wolfe algorithms
• Higher dimensional entanglement without correlations
• Bounding the persistency of the nonlocality of W states
• Certifying nonlocality from separable marginals
• Experimentally friendly approach towards nonlocal correlations in multisetting N -partite Bell scenarios
• Werner gap in presence of simple coloured noise
• Classical bounds on two-outcome bipartite Bell expressions and linear prepare-and-measure witnesses: Efficient computation in parallel environments such as graphics processing units
• No-cost Bell nonlocality certification from quantum tomography and its applications in quantum-magic-resource witnessing