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Quantum error-correcting codes are used to protect quantum information from decoherence. A raw state is mapped, by an encoding circuit, to a codeword so that the most likely quantum errors from a noisy quantum channel can be removed after a decoding process. A good encoding circuit should have some desired features, such as low depth, few gates, and so on. In this paper, we show how to practically implement an encoding circuit of gate complexity O(n(n-k+c)/ n) for an [[n,k;c]] quantumarXiv:1903.10013v2 fatcat:zfwl7fpgz5cdpmkt26lnb6zes4