量子テレポーテーション
| Φ + ⟩ = 1 2 ( | 00 ⟩ + | 11 ⟩ ) {\displaystyle |\Phi ^{+}\rangle ={\frac {1}{\sqrt {2}}}(|00\rangle +|11\rangle )} ,
| Φ − ⟩ = 1 2 ( | 00 ⟩ − | 11 ⟩ ) {\displaystyle |\Phi ^{-}\rangle ={\frac {1}{\sqrt {2}}}(|00\rangle -|11\rangle )} ,
| Ψ + ⟩ = 1 2 ( | 01 ⟩ + | 10 ⟩ ) {\displaystyle |\Psi ^{+}\rangle ={\frac {1}{\sqrt {2}}}(|01\rangle +|10\rangle )} ,
| Ψ − ⟩ = 1 2 ( | 01 ⟩ − | 10 ⟩ ) {\displaystyle |\Psi ^{-}\rangle ={\frac {1}{\sqrt {2}}}(|01\rangle -|10\rangle )} .
初期の3つの光子の状態は次の状態ベクトルで表される。
| ψ ⟩ 0 ⊗ | Φ + ⟩ 12 = ( α | 0 ⟩ 0 + β | 1 ⟩ 0 ) ⊗ 1 2 ( | 0 ⟩ 1 ⊗ | 0 ⟩ 2 + | 1 ⟩ 1 ⊗ | 1 ⟩ 2 ) .