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We study the CHSH inequality for a system of two spin $j$ particles, forgeneric $j$. The CHSH operator is constructed using a set of unitary, Hermitianoperators $\left\{ A_{1},A_{2},B_{1},B_{2}\right\} $. The expectation value ofthe CHSH operator is analyzed for the singlet state$\left|\psi_{s}\right\rangle $. Being $\left|\psi_{s}\right\rangle $ anentangled state, a violation of the CHSH inequality compatible with Tsirelson'sbound is found. Although the construction employed here differs from that of[1], full agreement is recovered.

Entanglement and maximal violation of the CHSH inequality in a system of two spins j: a novel construction and further observations