{ "id": "quant-ph/9811082", "version": "v1", "published": "1998-11-30T00:13:22.000Z", "updated": "1998-11-30T00:13:22.000Z", "title": "Quantum Error Correction and Reversible Operations", "authors": [ "Carlton M. Caves" ], "comment": "Paper based on a talk presented at the International Workshop on Macroscopic Quantum Tunneling and Coherence, Naples, Italy, June 10-13, 1998; to be published in Superconductivity; 17 pages, no figures, LaTeX", "categories": [ "quant-ph" ], "abstract": "I give a pedagogical account of Shor's nine-bit code for correcting arbitrary errors on single qubits, and I review work that determines when it is possible to maintain quantum coherence by reversing the deleterious effects of open-system quantum dynamics. The review provides an opportunity to introduce an efficient formalism for handling superoperators. I present and prove some bounds on entanglement fidelity, which might prove useful in analyses of approximate error correction.", "revisions": [ { "version": "v1", "updated": "1998-11-30T00:13:22.000Z" } ], "analyses": { "keywords": [ "quantum error correction", "reversible operations", "open-system quantum dynamics", "maintain quantum coherence", "approximate error correction" ], "note": { "typesetting": "LaTeX", "pages": 17, "language": "en", "license": "arXiv", "status": "editable", "inspire": 480084, "adsabs": "1998quant.ph.11082C" } } }