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Separability inequalities on N-qudit correlations exponentially stronger than local reality inequalities (2001.11687v1)

Published 31 Jan 2020 in quant-ph

Abstract: I derive separability inequalities for Bell correlations of observables in arbitrary pure or mixed $N$ Qudit states in $DN$-dimensional state space. I find states (a continuum of states if $D>3$) including maximally entangled states which violate these inequalities by a factor $2{N-1}$ ; local reality Bell inequalities are much weaker, their maximum violation being by a factor $2{(N-1)/2}$. The separability inequalities allow tests of entanglement of unknown states using only the measured correlations .

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