Quantum Convolutional Codes Based on the Stabilizer of Linear Codes

A quantum error correction scheme is proposed to protect a flow of transmitted quantum information. It is largely inspired by the theory of classical convolutional codes and the construction of the linear quantum code for error correction using the stabilizer formalism. Also, we provide an explicit encoding circuit to describe the process of the online encoding and the quantum error propagation. To decode the construction of the code, a quantum Viterbi algorithm is put forward for decoding of quantum signals received at the decoder