|q⟩ Bad Qubits

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Multiple choice
Run this circuit, then measure all 4 qubits at once. What is the probability of the joint outcome |0010⟩ (qubit 0 leftmost)?
⚛ The apparatus
const c = circuit(4);
c.h(0); c.cx(0, 1);
c.h(2); c.cx(2, 3);
// Bell-state measurement on the repeater qubits: undo the entangler.
c.cx(1, 2);
c.h(1);
// 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
c.measure();
return c;

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