Separability inequalities on N-qudit correlations exponentially stronger than local reality inequalities

• URL: http://arxiv.org/abs/2001.11687v1
• Date: Fri, 31 Jan 2020 07:44:28 GMT
• Title: Separability inequalities on N-qudit correlations exponentially stronger than local reality inequalities
• Authors: S. M. Roy
• Abstract summary: 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 $2N-1$.
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• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: I derive separability inequalities for Bell correlations of observables in arbitrary pure or mixed $N$ Qudit states in $D^N$-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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