Fig. 1: The 15 elements of \(\boldsymbol{\mathcal{S}}\). | npj Quantum Information

Fig. 1: The 15 elements of \(\boldsymbol{\mathcal{S}}\).

From: Optimal two-qubit circuits for universal fault-tolerant quantum computation

Fig. 1

These operators are one suitable choice for 15 \({\mathcal{R(P, Q)}}\) gates which are not equivalent to each other up to right-multiplication by Cliffords. All other choices are equivalent to this one up to right-multiplication by Cliffords. The ordering of \({\mathcal{S}}\) is given by reading left-to-right and row-by-row.

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