The entangled Born correlations: a mixed-state entanglement witness through the Born rule forced on the composite algebra
Kernel-checked entanglement package on the bipartite matrix algebra (2x2 tensor 2x2, native product index): (1) the separable-state CHSH bound 2 for the real-Pauli tuple, proved through the Bloch-disk constraint with no spectral theory; (2) an entanglement witness — a bipartite state, positive semidefinite with unit trace, that is NOT separable, with Born CHSH expectation equal to the Tsirelson value 2*sqrt(2) (the Bell state, exhibited explicitly in the Solution); (3) spectral projections without spectral theory — (1+W)/2 is an effect for every Hermitian involution W, any finite dimension;…
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