Not all entangled states violate Leggett's crypto-nonlocality
arXiv:1305.4671 · doi:10.1103/PhysRevA.88.042113
Abstract
This note is a reply to M. Navascués' claim that "all entangled states violate Leggett's crypto-nonlocality" [arXiv:1303.5124v2]. I argue that such a conclusion can only be reached if one introduces additional assumptions that further restrict Leggett's notion of "crypto-nonlocality". If a contrario one sticks only to Leggett's original axioms, there exist entangled states whose correlations are always compatible with Leggett's crypto-nonlocality---which is thus a genuinely different concept from quantum separability. I clarify in this note the relation between these two notions, together also with Bell's assumption of local causality.
3.5 pages. v2: typo corrected. Published version (titled "Bell's local causality, Leggett's crypto-nonlocality and quantum separability are genuinely different concepts") concentrates on clarifying the differences between these 3 notions, rather than on the claims of arXiv:1303.5124v2 (which has since been updated)
References in corpus (9)
- Steering, Entanglement, Nonlocality, and the EPR Paradox
- An experimental test of non-local realism
- No extension of quantum theory can have improved predictive power
- Grothendieck's constant and local models for noisy entangled quantum states
- More efficient Bell inequalities for Werner states
- Testing quantum correlations versus single-particle properties within Leggett's model and beyond
- Experimental Falsification of Leggett's Non-Local Variable Model
- Hidden variable models for quantum theory cannot have any local part
- Leggett-type nonlocal realist inequalities without any constraint on the geometrical alignment of measurement settings