Question

What is HX(1/sqrt(2) |0> + 1/sqrt(2) |+>)?

Answer 1

What is \[HX\left(\frac{1}{\sqrt(2)}|0\rangle+\frac{1}{\sqrt(2)}|+\rangle\right)\] ?

Answer 2

Can someone show me step by step?

Answer 3

remember that\[|0\rangle=\binom10\]and\[|1\rangle=\binom01\]

Answer 4

X is the bit-flip gate\[X=\begin{bmatrix} 0&1\\1&0\end{bmatrix}\]so what is\[X\otimes|0\rangle\]and\[X\otimes|1\rangle\]?

Answer 5

oh I see the other guy is plus. yeah, you should rewrite it first I guess

Answer 6

you will have to renormalize it

Answer 7

no I'm sorry, you should separate them

Answer 8

yes I think I stuck at the normalizing part.....

Answer 9

I think I draw faster.