A note on quantum error correction with continuous variables

Peter van Loock

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arXiv · 0811.3616

A note on quantum error correction with continuous variables

Peter van Loock

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Abstract

We demonstrate that continuous-variable quantum error correction based on Gaussian ancilla states and Gaussian operations (for encoding, syndrome extraction, and recovery) can be very useful to suppress the effect of non-Gaussian error channels. For a certain class of stochastic error models, reminiscent of those typically considered in the qubit case, quantum error correction codes designed for single-channel errors may enhance the transfer fidelities even when errors occur in every channel employed for transmitting the encoded state. In fact, in this case, the error-correcting capability of the continuous-variable scheme turns out to be higher than that of its discrete-variable analogues.

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Peter van Loock. 2008-11-21. A note on quantum error correction with continuous variables. https://arxiv.org/abs/0811.3616

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