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 $2N-1$.
- Score: 0.0
- 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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