Analytical self-testing criterion proven for equal-coefficient symmetric three-qubit state; general family shown numerically self-testable via swap method and SDP.
(35) Observation (16a) implies ⟨P 1 CA2(B2 − B1)⟩ = 0 ⇒ P 1 CX ′ A |ψ ⟩ ⊥ P 0 CZ ′ B |ψ ⟩ (36) and combine the first relation in ( 34), we have P 1 CX ′ A |ψ ⟩ ⊥ P 1 CZ ′ A |ψ ⟩
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Self-testing of symmetric three-qubit states
Analytical self-testing criterion proven for equal-coefficient symmetric three-qubit state; general family shown numerically self-testable via swap method and SDP.