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Context: Test of a circuit to build state ∣ΦA0′(θ,ϕ,ψ)⟩ after change of basis from reference states ∣ΦA0⟩=∣00010011⟩, ∣ΦB0⟩=∣00010101⟩, ∣ΦC0⟩=∣00011001⟩ in the context of H4+
Rotation matrix used to decompose the change of basis matrix
Circuit to build state ∣ΦA0(θ,ϕ,ψ)⟩ after change of basis from ∣ΦA0⟩=∣00010011⟩, ∣ΦB0⟩=∣00010101⟩, ∣ΦC0⟩=∣′00011001′⟩