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Error correction for continuous quantum variables

Samuel L. Braunstein
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Abstract

We propose an error correction coding algorithm for continuous quantum variables. We use this algorithm to construct a highly efficient 5-wavepacket code which can correct arbitrary single wavepacket errors. We show that this class of continuous variable codes is robust against imprecision in the error syndromes. A potential implemetation of the scheme is presented.

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Samuel L. Braunstein. 1997-11-21. Error correction for continuous quantum variables. https://doi.org/10.1103/physrevlett.80.4084

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