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We show how to protect a stream of quantum information from decoherenceinduced by a noisy quantum communication channel. We exploit presharedentanglement and a convolutional coding structure to develop a theory ofentanglement-assisted quantum convolutional coding. Our construction produces aCalderbank-Shor-Steane (CSS) entanglement-assisted quantum convolutional codefrom two arbitrary classical binary convolutional codes. The rate anderror-correcting properties of the classical convolutional codes directlydetermine the corresponding properties of the resulting entanglement-assistedquantum convolutional code. We explain how to encode our CSSentanglement-assisted quantum convolutional codes starting from a stream ofinformation qubits, ancilla qubits, and shared entangled bits.

Entanglement-Assisted Quantum Convolutional Coding