quantum error correcting codes

How Do QECCs Work?

QECCs typically rely on a combination of entanglement and redundancy. They encode quantum information into a larger system of qubits in such a way that even if some qubits experience errors, the overall state can still be recovered. The process involves several steps:
Encoding: The quantum state is encoded into a larger Hilbert space using an encoding circuit.
Detection: Any errors in the encoded state are detected using syndrome measurements.
Correction: Once detected, these errors can be corrected using appropriate quantum gates.

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