{ "id": "0811.3616", "version": "v1", "published": "2008-11-21T19:29:05.000Z", "updated": "2008-11-21T19:29:05.000Z", "title": "A note on quantum error correction with continuous variables", "authors": [ "Peter van Loock" ], "comment": "slightly more than 4 pages", "categories": [ "quant-ph" ], "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.", "revisions": [ { "version": "v1", "updated": "2008-11-21T19:29:05.000Z" } ], "analyses": { "keywords": [ "continuous variables", "stochastic error models", "non-gaussian error channels", "continuous-variable quantum error correction", "quantum error correction codes" ], "note": { "typesetting": "TeX", "pages": 4, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2008arXiv0811.3616V" } } }