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The standard universal set of gates for Clifford computation is CNOT, H and S. Are there other options, in particular, gate sets that don't use the S gate?

If yes, what are some examples?

Cairo
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1 Answers1

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  • You can choose $CZ$ and/or $CNOT$ gate.
  • You can choose $\sqrt{X}$ and/or $S$.
  • Any extension of a generator set is also a generator.
  • You may find useful to introduce the Pauli operators $X, Y, Z$.
Daniele Cuomo
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