量子削除不可能定理
| ψ ⟩ A | ψ ⟩ B | A ⟩ C = [ α 2 | 0 ⟩ A | 0 ⟩ B + β 2 | 1 ⟩ A | 1 ⟩ B + α β ( | 0 ⟩ A | 1 ⟩ B + | 1 ⟩ A | 0 ⟩ B ) ] | A ⟩ C {\displaystyle |\psi \rangle _{A}|\psi \rangle _{B}|A\rangle _{C}=[\alpha ^{2}|0\rangle _{A}|0\rangle _{B}+\beta ^{2}|1\rangle _{A}|1\rangle _{B}+\alpha \beta (|0\rangle _{A}|1\rangle _{B}+|1\rangle _{A}|0\rangle _{B})]|A\rangle _{C}}
→ α 2 | 0 ⟩ A | 0 ⟩ B | A 0 ⟩ C + β 2 | 1 ⟩ A | 0 ⟩ B | A 1 ⟩ C + 2 α β | Φ ⟩ A B C . {\displaystyle \qquad \rightarrow \alpha ^{2}|0\rangle _{A}|0\rangle _{B}|A_{0}\rangle _{C}+\beta ^{2}|1\rangle _{A}|0\rangle _{B}|A_{1}\rangle _{C}+{\sqrt {2}}\alpha \beta |\Phi \rangle _{ABC}.}