Quantum Nonlocality Enhanced by Homogenization

Abstract

Homogenization proposed in [Y.-C Wu and M. Żukowski, Phys. Rev. A 85, 022119 (2012)] is a procedure to transform a tight Bell inequality with partial correlations into a full-correlation form that is also tight. In this paper, we check the homogenizations of two families of $n$-partite Bell inequalities: the Hardy inequality and the tight Bell inequality without quantum violation. For Hardy's inequalities, their homogenizations bear stronger quantum violation for the maximally entangled state; the tight Bell inequalities without quantum violation give the boundary of quantum and supra-quantum, but their homogenizations do not have the similar properties. We find their homogenization are violated by the maximally entangled state. Numerically computation shows the the domains of quantum violation of homogenized Hardy's inequalities for the generalized GHZ states are smaller than those of Hardy's inequalities.

arXiv comment4 pages, 2 figures

References in corpus (9)

• Graph-Theoretic Approach to Quantum Correlations
• Symmetries of the Bell correlation inequalities
• Guess your neighbour's input: a multipartite non-local game with no quantum advantage
• More efficient Bell inequalities for Werner states
• Hardy's nonlocality for generalized n-particle GHZ states
• Bell inequalities with no quantum violation and unextendible product bases
• Tight Bell inequalities with no quantum violation from qubit unextendible product bases
• Explicit form of correlation function three-settings tight Bell inequalities for three qubits
• Homogenization of Bell inequalities