Liang JIANG
We present a general theoretical framework for the study of quantum devices with autonomous quantum correction with engineered dissipation. To encode quantum information, our engineered dissipation should not only suppress the undesired environmental noise, but also preserve a non-trivial steady state subspace without collapsing the encoded quantum information. We identify a necessary and sufficient condition for the existence of an engineered Lindbladian providing protection against multiple consecutive errors to higher order. For practical implementation, we provide some examples to illustrate the feasibility and advantageous of engineered dissipation for autonomous quantum error correction.