Locality and Causality in Hidden Variables Models of Quantum Theory
Abstract
Motivated by Popescu's example of hidden nonlocality, we elaborate on the conjecture that quantum states that are intuitively nonlocal, i.e., entangled, do not admit a local causal hidden variables model. We exhibit quantum states which either (i) are nontrivial counterexamples to this conjecture or (ii) possess a new kind of more deeply hidden irreducible nonlocality. Moreover, we propose a nonlocality complexity classification scheme suggested by the latter possibility. Furthermore, we show that Werner's (and similar) hidden variables models can be extended to an important class of generalized observables. Finally a result of Fine on the equivalence of stochastic and deterministic hidden variables is generalized to causal models.
Cite
@article{arxiv.quant-ph/9609005,
title = {Locality and Causality in Hidden Variables Models of Quantum Theory},
author = {Stefan Teufel and Karin Berndl and Detlef Dürr and Sheldon Goldstein and Nino Zangh\`ı},
journal= {arXiv preprint arXiv:quant-ph/9609005},
year = {2009}
}
Comments
revised version, 21 pages, submitted to Physical Review A