This circuit prepares a qubit in a superposition state and applies a rotation to optimally discriminate between |0⟩ and |ψ⟩.
```python
from qiskit import QuantumCircuit
# Create circuit with 1 qubit and 1 classical bit
qc = QuantumCircuit(1, 1)
# Prepare a qubit in a superposition state |ψ⟩ = cos(θ)|0⟩ + sin(θ)|1⟩
theta = 0.3 # Angle θ between 0 and π/2
qc.ry(2 * theta, 0)
# Apply a rotation to optimally discriminate between |0⟩ and |ψ⟩
qc.ry(-theta, 0)
# Measure in the computational basis
qc.measure(0, 0)
```
'Failed to run program: \'409 Client Error: Conflict for url: https://api.quantum.ibm.com/runtime/jobs. {"errors":[{"message":"You have reached the limit of 3 pending jobs. Please wait for a job to complete or cancel one before submitting anything new.","code":3458,"solution":"Wait until some previous jobs were finished. You can cancel pending jobs to run new jobs.","more_info":"https://docs.quantum-computing.ibm.com/errors"}]}\''