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Multiple choice
The seven-qubit Steane code [[7,1,3]] is a CSS code built from the classical [7,4,3] Hamming code. Why is its CSS structure considered powerful for fault tolerance?
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It uses fewer physical qubits than the five-qubit code
It keeps X-type and Z-type checks separate, so the entire logical Clifford group is transversal (e.g.
X
ˉ
=
X
⊗
7
\bar{X} = X^{\otimes 7}
X
ˉ
=
X
⊗
7
,
H
ˉ
=
H
⊗
7
\bar{H} = H^{\otimes 7}
H
ˉ
=
H
⊗
7
)
It makes every logical gate, including the T gate, transversal, giving a universal transversal set
It removes the need for any stabilizer measurements during a computation
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