|q⟩ Bad Qubits

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Multiple choice
After this circuit, what is P(|0010⟩) for the whole 4-qubit register measured together (qubit 0 leftmost)?
⚛ The apparatus
const c = circuit(4);
// 1 & 2: two elementary Bell pairs
c.h(0); c.cx(0, 1);
c.h(2); c.cx(2, 3);
// 3: Bell-state measurement on the repeater qubits (inverse entangler)
c.cx(1, 2);
c.h(1);
// 4: feed-forward corrections onto Bob's qubit (deferred-measurement form)
c.cx(2, 3);   // X correction conditioned on q2
c.cz(1, 3);   // Z correction conditioned on q1
// 5
c.measure();
return c;

Commit your prediction for P(|0010⟩) — then run it.