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?
In Google's Quantum Supremacy experiment, what if we use $\theta=45°$ for two-qubit $f_{sim}$ gates?
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$\begingroup$ Hi and welcome to Quantum Computing SE. Could you please provide a link to a paper you refer to? $\endgroup$– Martin VeselyApr 3, 2020 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:
and equations 103, 104, and 105 show how to compute the relevant coefficients:
answered Apr 3, 2020 at 23:40
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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. $\endgroup$– InmApr 4, 2020 at 8:23