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Composite Quantum Systems: Tensor Products and Entanglement

The core principle establishes that composite quantum systems are described by tensor products of individual subsystem state spaces and observables, leading to entanglement where the global state cannot be factorized into local product states. Theoretically significant in Quantum Mechanics, this framework formalizes measurement via wave function collapse and demonstrates through the singlet state how statistical correlations between separated particles differ fundamentally from classical local hidden variable models.