This circuit prepares a superposition state on one qubit, uses an ancillary qubit to induce amplitude damping, and finally measures the primary qubit.
```python
from qiskit import QuantumCircuit
# Create a QuantumCircuit with 2 qubits and 2 classical bits
qc = QuantumCircuit(2, 2)
# Prepare qubit 0 in superposition state
qc.h(0)
# Implement amplitude damping channel using an ancillary qubit (qubit 1)
qc.reset(1) # Ensure the ancillary qubit is in |0⟩ state
qc.cx(0, 1) # Entangle qubit 0 with ancillary qubit 1
qc.measure(1, 1) # Measure ancillary qubit to induce amplitude damping on qubit 0
# Measure the principal qubit
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"}]}\''