In this Letter we show that quantum nonlocality can be superactivated. That is, one can obtain violations of Bell inequalities by tensorizing a local state with itself. In the second part of this work we study how large these violations can be. In particular, we show the existence of quantum states with very low Bell violation but such that five copies of them give very large violations. In fact, this gap can be made arbitrarily large by increasing the dimension of the states.

Jan 1, 201297 citations

arXiv:1007.3043 · Communications in Mathematical Physics

Large Violation of Bell Inequalities with Low Entanglement

Marius Junge, Carlos Palazuelos

Published Jul 4, 2011• 146 citations

arXiv HTML PDF

DOI: 10.1007/s00220-011-1296-8

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Quantum correlations between spatially separated parts of a

d

-dimensional bipartite system (

d\geq 2

) have no classical analog. Such correlations, also called entanglements, are not only conceptually important, but also have a profound impact on information science. In theory the violation of Bell inequalities based on local realistic theories for

d

-dimensional systems provides evidence of quantum nonlocality. Experimental verification is required to confirm whether a quantum system of extremely large dimension can possess this feature, however it has never been performed for large dimension (e.g.,

d\geq 1000

). Here, we report that Bell inequalities are experimentally violated for bipartite quantum systems of extremely high dimensionality with the usual ensembles of polarization-entangled photon pairs. Our entanglement source violates Bell inequalities for extremely high dimensionality of

d>4000

. The designed scenario offers a possible new method to investigate the entanglement of multipartite systems of large dimensionality and their application in quantum information processing.