The Entangler — Bell State Generation and WNSP Quantum Repeater
Act 16 of the NexusOS physics sequence. First disclosed 2026-07-19. AGPL-3.0. Founder: Te Rata Pou.
Bell States
The four maximally entangled two-qubit states: |Φ⁺⟩=(|00⟩+|11⟩)/√2, |Φ⁻⟩=(|00⟩-|11⟩)/√2, |Ψ⁺⟩=(|01⟩+|10⟩)/√2, |Ψ⁻⟩=(|01⟩-|10⟩)/√2. All have concurrence C=1.
Entanglement Swapping
|Φ⁺⟩_AB ⊗ |Φ⁺⟩_BC → BSM(B) → |Φ⁺⟩_AC. Two Bell pairs merged by BSM at intermediate node creates A–C entanglement without direct contact. Teleportation fidelity F_tele=(2F+1)/3.
CHSH Inequality
S=E(a,b)-E(a,b')+E(a',b)+E(a',b') ≤ 2 (classical), ≤ 2√2≈2.828 (Tsirelson bound). Loophole-free violations: Hensen 2015, Giustina 2015, Shalm 2015.
WNSP Repeater — Claim 31
Without repeaters: F ∝ e^(-L/L_att). With n SNIC swap nodes: L_total = n × L₀. Claim 31: SNIC nodes as BSM-capable quantum repeater switch points using Ψ(wdm,oam,pol) address space as the repeater topology.
The 17-Act Sequence