A Bell Inequality with Quantum to Classical Violation $\frac{3}{2}$
Year: 2015
Type: preprint
Abstract: We introduce a Bell inequality in a bipartite spin-$\frac{1}{2}$ system with a quantum to classical violation ratio of $\frac{3}{2}$, exceeding the $\sqrt{2}$ violation of the Clauser-Horne-Shimony-Holt inequality. The increase is allowed by the use of products of non-commuting observables symmetrized over all possible orderings in the quantization. This shows that the non-commutativity of operations intrinsic to quantum mechanics contributes to its violation of local realism. It is shown that generalizing the inequality to high order does not increase the violation. This, along with a hidden variable model found by Toner et. al., leads us to conjecture that $\frac{3}{2}$ is the maximal possible violation.
Source: arXiv (Cornell University)
Authors: Omar Gamel, Graham R. Fleming
Language: English
Subfield: Atomic and Molecular Physics, and Optics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2222730936