Description of a quantum convolutional code

Details Description of a quantum convolutional code Description of a quantum convolutional code

2003-04-29

arxiv.org/abs/quant-ph/0304189v2

Physics

Quantum Physics

4 pages, uses revtex4. Minor correction in the encoding and decoding circuits

Scientific paper

10.1103/PhysRevLett.91.177902

We describe a quantum error correction scheme aimed at protecting a flow of quantum information over long distance communication. It is largely inspired by the theory of classical convolutional codes which are used in similar circumstances in classical communication. The particular example shown here uses the stabilizer formalism, which provides an explicit encoding circuit. An associated error estimation algorithm is given explicitly and shown to provide the most likely error over any memoryless quantum channel, while its complexity grows only linearly with the number of encoded qubits.

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