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Actually an even simpler way is as follows (reusing @nbro's notations). We have: \begin{align} |\Phi^{+}\rangle &= |a\rangle \otimes |b\rangle \\ &= \left( \alpha |0\rangle + \beta |1\rangle \right) \otimes \left( \gamma |0\rangle + \lambda |1\rangle \right) \end{align} We can now simply apply the distributive property to obtain \begin{align} |\...


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