MicrosoftDocs/quantum-docs-pr

Z gate error

nirajvenkat opened this issue · 4 comments

nirajvenkat commented

[Enter feedback here]
In this page you have in the last formula Z^(f(0)−f(1)) when I think this should be Z^(f(1)−f(0)).

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cgranade commented

I believe it should work either way, since 𝑍⁻¹ = 𝑍⁺ = 𝑍 (that is, Adjoint Z is the same operation as Z). Nonetheless, we definitely appreciate the feedback as to readability of the article. I'll go on and flag this to the docs team for awareness. Thanks for raising the issue!

geduardo commented

I'll keep this issue open for our new tech writers joining this week @cgranade ;)

nirajvenkat commented

Thanks for the explanation @cgranade !

SoniaLopezBravo commented

I agree to @cgranade. Notice that f(x) is a Boolean function, so $f(0)-f(1) \in {0,1,-1}$. Since Pauli Z is an orthogonal matrix $Z^(-1) = Z^(T) = Z$ in this case it works either way.