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Journal Article

A note on quantum error correction with continuous variables


van Loock,  Peter
van Loock Research Group, Research Groups, Max Planck Institute for the Science of Light, Max Planck Society;

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van Loock, P. (2010). A note on quantum error correction with continuous variables. SI, 57(19): PII 924733809, pp. 1965-1971. doi:10.1080/09500340.2010.499047.

Cite as: https://hdl.handle.net/11858/00-001M-0000-002D-6B71-F
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.