The classical bit and the qubit: superposition in C²

Does a simulated singlet reproduce E(a, b) = −cos(a-b), and does CHSH reach 2 root 2 with analyser directions spaced 45 degrees? Useful evidence includes kronecker-built Bell states, sampled outcome pairs with binomial error bars, a fitted correlation curve, the CHSH value with uncertainty, and the stated limit that a local simulation tests the algebra, not nature.

This GioPhysics course map is an adaptable learning sequence, not academic credit, accreditation, or a universal university syllabus. It is written for a four-credit course of roughly three lecture hours plus two to three laboratory or computational hours a week across fifteen weeks, and it is deliberately more mathematical than University Physics I–IV: linear algebra and differential equations are working tools here, not background. Twenty units are mapped against a suggested fifteen-week delivery, so several units share a teaching week. Departments differ widely in how much formalism they expect at this stage; follow your institution's published scope, notation, laboratory programme, and assessment rules. A result should be checked against units, signs, limiting cases, and the conditions under which its model was derived.