This circuit prepares a magic state through superposition and phase shift, then measures the qubit.
```python
from qiskit import QuantumCircuit
from math import pi
# Create circuit with 1 qubit and 1 classical bit
qc = QuantumCircuit(1, 1)
# Prepare the magic state |M⟩ = (|0⟩ + e^{iπ/4}|1⟩)/√2
qc.h(0) # Create superposition (|0⟩ + |1⟩)/√2
qc.p(pi/4, 0) # Apply a phase of π/4 to the |1⟩ component
# Measure the qubit
qc.measure(0, 0)
```
This quantum circuit prepares a **magic state**, which is a specific quantum state useful for implementing non-Clifford gates in fault-tolerant quantum computing. The magic state is prepared by applying a Hadamard gate to create a superposition and then adding a phase of π/4 to the |1⟩ component using the **P (Phase)** gate. The circuit then measures the qubit to record the outcome.'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"}]}\''