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arXiv · 0712.2223

Entanglement-Assisted Quantum Convolutional Coding

Mark M. Wilde·Todd A. Brun
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Abstract

We show how to protect a stream of quantum information from decoherence induced by a noisy quantum communication channel. We exploit preshared entanglement and a convolutional coding structure to develop a theory of entanglement-assisted quantum convolutional coding. Our construction produces a Calderbank-Shor-Steane (CSS) entanglement-assisted quantum convolutional code from two arbitrary classical binary convolutional codes. The rate and error-correcting properties of the classical convolutional codes directly determine the corresponding properties of the resulting entanglement-assisted quantum convolutional code. We explain how to encode our CSS entanglement-assisted quantum convolutional codes starting from a stream of information qubits, ancilla qubits, and shared entangled bits.

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Mark M. Wilde, Todd A. Brun. 2010-04-02. Entanglement-Assisted Quantum Convolutional Coding. https://doi.org/10.1103/physreva.81.042333

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