How do logical qubits reduce the effective error rate in quantum circuits?

Example Concept: Logical qubits are constructed using quantum error correction codes that distribute the information of one qubit across several physical qubits. This redundancy allows the system to detect and correct errors such as bit-flip or phase-flip errors by using syndrome measurements, which provide information about the presence and type of errors without collapsing the quantum state. By repeatedly applying error correction cycles, logical qubits maintain coherence and reduce the effective error rate, thus enabling more reliable quantum computations.