Description

This circuit prepares a 3-qubit phase-flip error detection code, introduces an error, and measures to detect the error syndrome.

Qiskit Circuit Code

```python
from qiskit import QuantumCircuit

# Create a circuit with 3 qubits and 3 classical bits
qc = QuantumCircuit(3, 3)

# Prepare the logical |+⟩ state on qubit 0
qc.h(0)

# Encode the qubit into a 3-qubit phase-flip error detection code
qc.cx(0, 1)
qc.cx(0, 2)

# Introduce a phase-flip error on qubit 1
qc.z(1)

# Apply Hadamard gates to convert phase errors to bit-flip errors
qc.h(0)
qc.h(1)
qc.h(2)

# Measure all qubits to detect the error syndrome
qc.measure([0, 1, 2], [0, 1, 2])
```

Quantum Execution Results

{
  "backend": "ibm_kyiv",
  "error": "\u0027Failed to run program: \\\u0027409 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\"}]}\\\u0027\u0027",
  "status": "failed"
}

Download Results