7-Qubit Steane Code with Error

cf62d9f3-4b86-445b-b4cb-da0316b4a746
4.0
Description

This circuit prepares a 7-qubit state using the Steane code, introduces a bit-flip error on one qubit, decodes the state and performs a measurement.

Qiskit Circuit Code
Python
```python
from qiskit import QuantumCircuit

# Create a quantum circuit with 7 qubits and 7 classical bits
qc = QuantumCircuit(7, 7)

# Encoding step using the 7-qubit Steane code
# Initial logical qubit is in qubit 0

# Prepare the ancilla qubits
qc.h(0)
qc.h(1)
qc.h(2)

# Encoding using CNOT gates
qc.cx(0, 3)
qc.cx(1, 3)
qc.cx(1, 4)
qc.cx(2, 4)
qc.cx(0, 5)
qc.cx(2, 5)
qc.cx(0, 6)
qc.cx(1, 6)
qc.cx(2, 6)

# Introduce an error on qubit 3 (e.g., a bit-flip error)
qc.x(3)

# Decoding step (inverse of encoding)
qc.cx(0, 6)
qc.cx(1, 6)
qc.cx(2, 6)
qc.cx(0, 5)
qc.cx(2, 5)
qc.cx(1, 4)
qc.cx(2, 4)
qc.cx(0, 3)
qc.cx(1, 3)

qc.h(0)
qc.h(1)
qc.h(2)

# Measure all qubits
qc.measure(range(7), range(7))
```
Quantum Execution Results
ibm_kyiv
N/A
N/A shots
Execution Notice:

'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"}]}\''

Raw Result Data
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