5 qubit-Quantum-Error-Correction

Pre-requisites:

pip install qiskit
pip install pylatexenc

The five-qubit error correcting code is the smallest quantum error correcting code that can protect a logical qubit from any arbitrary single qubit error. In this code, 5 physical qubits are used to encode the logical qubit and checks for bit flip, phase flip and mixed (bit+phase) errors. The code involves:

1. Encoding
2. Error syndrome detection
3. Error correction
4. Decoding

References:

1. Qiskit docs
2. Quantum Computing - From Linear Algebra to Physical Realizations: Mikio Nakahara, Tetsuo Ohmi - Chapter 10 Error correcting codes
3. Wiki article