  Protecting quantum information from decoherence due to environmental noise is
vital for fault-tolerant quantum computation. To this end, standard quantum
error correction employs parallel projective measurements of individual
particles, which makes the system extremely complicated. Here we propose
measurement-free topological protection in two dimension without any selective
addressing of individual particles. We make use of engineered dissipative
dynamics and feedback operations to reduce the entropy generated by decoherence
in such a way that quantum information is topologically protected. We calculate
an error threshold, below which quantum information is protected, without
assuming selective addressing, projective measurements, nor instantaneous
classical processing. All physical operations are local and translationally
invariant, and no parallel projective measurement is required, which implies
high scalability. Furthermore, since the engineered dissipative dynamics we
utilized has been well studied in quantum simulation, the proposed scheme can
be a promising route progressing from quantum simulation to fault-tolerant
quantum information processing.
