We study the CHSH inequality for a system of two spin $j$ particles, for generic $j$. The CHSH operator is constructed using a set of unitary, Hermitian operators $\left\{ A_{ 1},A_{ 2},B_{ 1},B_{ 2}\right\} $. The expectation value of the CHSH operator is analyzed for the singlet state $\left|\psi_{ s}\right\rangle $. Being $\left|\psi_{ s}\right\rangle $ an entangled state, a violation of the CHSH inequality compatible with Tsirelson's bound is found. Although the construction employed here differs from that of [1], full agreement is recovered.
Categories: quant-ph hep-th