EPR cat

We examine interesting violations of the CHSH form of Bell's Inequality by entangled states made from coherent states of the Lie Groups SU(2) and SU(1,1). We are specifically interested in dichotomic measurements based upon the group parity operators for these cases. Owing to the importance of these groups to descriptions of angular momentum (e.g. atomic) systems (SU(2)) and the harmonics oscillator (SU(1,1)), we examine strong violations of the CHSH Inequality as a possible forensic tool for isolating highly entangled continuous variable states in systems of practical interest for quantum information processing, sensing, and communication.