Measurement-based estimator scheme for continuous quantum error correction

Canonical discrete quantum error correction (DQEC) schemes use projective von Neumann measurements on stabilizers to discretize the syndromes into a finite set, and fast unitary gates are applied recover corrupted information. Quantum (QEC) based continuous measurement, known as (CQEC), in principle, can be executed faster than DQEC also resource efficient. However, CQEC requires meticulous filtering of noisy measurement data reliably extract basis which errors could detected. In this paper, we show that by constructing measurement-based estimator (MBE) logical qubit protected, is driven currents stabilizers, it possible accurately track occurring physical qubits real time. We MBE develop (MBE-CQEC) scheme protect high degree, surpassing performance DQEC, allows QEC conducted either immediately or delayed time with instantaneous feedbacks.