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

2020/01/31 by S. M. Roy, Roy, S. M.
Computer Science · Physics and Astronomy · #FOS: Physical sciences #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum Physics (quant-ph)

paper · pdf · doi:10.48550/arxiv.2001.11687

openalex publication_date 2020/01/31 · openalex created_date 2020/02/07 · openalex updated_date 2026/07/28

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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