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. 2011 Nov 29;2:561. doi: 10.1038/ncomms1572

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The states used are represented on a great circle on the Bloch sphere. (a) BB84 states, corresponding cheating states |A₀> and |A₁> for Alice, equal to with ϕ_A=67.5°, and corresponding cheating states |B₀> and |B₁> for Bob, equal to with ϕ_B=22.5°. (b) Fair states and the corresponding cheating states defined as for the BB84 states but with ϕ_A≈63.4° and ϕ_B≈18.4°.

Inline graphic — The states used are represented on a great circle on the Bloch sphere. (a) BB84 states, corresponding cheating states |A₀> and |A₁> for Alice, equal to with ϕ_A=67.5°, and corresponding cheating states |B₀> and |B₁> for Bob, equal to with ϕ_B=22.5°. (b) Fair states and the corresponding cheating states defined as for the BB84 states but with ϕ_A≈63.4° and ϕ_B≈18.4°.