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In Google's Quantum Supremacy experiment, they use $f_{sim}$(fermionic-simulation) gates with $\theta=90°$ and $\phi=30°$ as their two-qubit gates. What if we use $\theta=45°$ for the two-qubit $f_{sim}$ gates? What will it do to the experiment's complexity?

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  • $\begingroup$ Hi and welcome to Quantum Computing SE. Could you please provide a link to a paper you refer to? $\endgroup$ Apr 3 '20 at 7:31
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I asked Sergio Boxio about this and he noted that this is discussed in the supplementary information of the Supremacy paper. In particular, Figure S47 has a plot of the speedup you get due to imbalance in the Schmidt coefficients as the rotation angle drifts:

enter image description here

and equations 103, 104, and 105 show how to compute the relevant coefficients:

enter image description here

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  • $\begingroup$ Thanks, I think Schmidt coefficients may be the key point to the consideration of different theta as you mentioned, and I didn't notice this before. $\endgroup$
    – Inm
    Apr 4 '20 at 8:23

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