Effect of the unpolarized spin state in spin-correlation measurement of two protons produced in the 12C(d,2He) reaction

Abstract

In this note we discuss the effect of the unpolarized state in the spin-correlation measurement of the ${}^1{S}_0$ two-proton state produced in 12C(d,2He) reaction at the KVI, Groningen. We show that in the presence of the unpolarized state the maximal violation of the CHSH-Bell inequality is lower than the classical limit if the purity of the state is less than $\sim \text{70\%}$. In particular, for the KVI experiment the violation of the CHSH-Bell inequality should be corrected by a factor $\sim \text{10\%}$ from the pure ${}^1{S}_0$ state.

6 pages, to appear in J. Phys. A

References in corpus (2)

• Detection of entanglement with few local measurements
• Distillable entanglement in $d\otimes d$ dimension