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I am reading Nelson and Chuang's book on Quantum Computation. On pages 26-7 they describe quantum teleportation. I am facing essentially a math problem in going from the expression

[tex]\left|\psi_{2}\right> = \frac{1}{2}\left[\alpha(\left|0\right> + \left|1\right>)(\left|00\right> + \left|11\right>) + \beta(\left|0\right> - \left|1\right>)(\left|10\right> + \left|01\right>)\right][/tex]

to the expression

[tex]\left|\psi_{2}\right> = \frac{1}{2}\left[\left|00\right>(\alpha\left|0\right> + \beta\left|1\right>) + \left|01\right>(\alpha\left|1\right> + \beta\left|0\right>) + \left|10\right>(\alpha\left|0\right> - \beta\left|1\right>) + \left|11\right>(\alpha\left|1\right> - \beta\left|0\right>)\right\][/tex]

Would appreciate any help/suggestions to try to tackle this.

Thanks.

PS--It seems to be a regrouping of terms..I guess, but I still can't get it directly :P

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# Quantum Computing problem [Quantum Teleportation] (Nelson and Chuang)

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