Quantum Computing Asked by Dingshan Liu on December 12, 2020
How to construct Control-Z with square root of swap(up to some single qubit operations)? In some papers it just directly mention that it’s possible but didn’t tell how to do.
To add to the circuit by @Craig, the reason why papers tend to mention that some gate is obtainable by $sqrt{swap}$ upto a few single qubit gates is because the set that contains the $sqrt{swap}$ gate and all the one qubit gates is considered to be a universal set of quantum gates. That is, by just using just the $sqrt{swap}$ gate and some single qubit gates, it is possible to construct any single or multi qubit quantum gate.
Answered by Tharrmashastha V on December 12, 2020
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