Quantum Computation, Lecture 21, Quantum Error Correction, Part 2, Mar 9, 2022
Channel: Deepak Vaid
Date: 2022-03-18

Error diagnosis for bit flip errors in 3-qubit repetition code via syndrome measurements; recovery operations.


Phase flip errors; encoding in 3 qubit states in Hadamard basis; syndrome operators.


Shor's nine qubit code for correcting both phase and bit flip errors on any one physical qubit; syndrome operators; spectral decomposition of syndrome operators


Quantum channels (mixed states) for modeling errors; state fidelity as measure of quality of error correction procedure.