|q⟩ Bad Qubits

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Multiple choice
Run this circuit, then measure all 3 qubits at once. What is the probability of the joint outcome |001⟩ (qubit 0 leftmost)?
⚛ The apparatus
const c = circuit(3);
c.h(0);
c.cp(Math.PI / 2, 0, 1);
c.cp(Math.PI / 4, 0, 2);
c.h(1);
c.cp(Math.PI / 2, 1, 2);
c.h(2);
c.swap(0, 2);
return c;

Commit your prediction for P(|001⟩) — then run it.