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To measure the Z-type plaquette check
Z
0
Z
1
Z_0 Z_1
Z
0
Z
1
with a fresh ancilla a prepared in
∣
0
⟩
|0\rangle
∣0
⟩
, two CNOTs are applied: CNOT(0->a) then CNOT(1->a). What value does the ancilla hold afterward, for data
∣
q
0
q
1
⟩
|q_0 q_1\rangle
∣
q
0
q
1
⟩
?
The product
q
0
⋅
q
1
q_0 \cdot q_1
q
0
⋅
q
1
(logical AND of the two data bits)
A copy of
q
0
q_0
q
0
only, ignoring
q
1
q_1
q
1
The parity
q
0
⊕
q
1
q_0 \oplus q_1
q
0
⊕
q
1
, with the data register left untouched in
∣
q
0
q
1
⟩
|q_0 q_1\rangle
∣
q
0
q
1
⟩
The data qubits collapsed to a single computational basis state
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