量子テレポーテーション
{\displaystyle |\psi \rangle _{0}\otimes |\Phi ^{+}\rangle _{12}=(\alpha |0\rangle _{0}+\beta |1\rangle _{0})\otimes {\frac {1}{\sqrt {2}}}(|0\rangle _{1}\otimes |0\rangle _{2}+|1\rangle _{1}\otimes |1\rangle _{2}).}
ベル基底を使って01を表すと、
| 0 ⟩ ⊗ | 0 ⟩ = 1 2 ( | Φ + ⟩ + | Φ − ⟩ ) , {\displaystyle |0\rangle \otimes |0\rangle ={\frac {1}{\sqrt {2}}}(|\Phi ^{+}\rangle +|\Phi ^{-}\rangle ),}
| 0 ⟩ ⊗ | 1 ⟩ = 1 2 ( | Ψ + ⟩ + | Ψ − ⟩ ) , {\displaystyle |0\rangle \otimes |1\rangle ={\frac {1}{\sqrt {2}}}(|\Psi ^{+}\rangle +|\Psi ^{-}\rangle ),}
| 1 ⟩ ⊗ | 0 ⟩ = 1 2 ( | Ψ + ⟩ − | Ψ − ⟩ ) , {\displaystyle |1\rangle \otimes |0\rangle ={\frac {1}{\sqrt {2}}}(|\Psi ^{+}\rangle -|\Psi ^{-}\rangle ),}
| 1 ⟩ ⊗ | 1 ⟩ = 1 2 ( | Φ + ⟩ − | Φ − ⟩ ) .