{ "id": "quant-ph/0703142", "version": "v2", "published": "2007-03-15T20:30:38.000Z", "updated": "2008-03-06T22:51:18.000Z", "title": "Correlated errors can lead to better performance of quantum codes", "authors": [ "A. Shabani" ], "comment": "5 pages, 3 figures. Replaced by the published version. Title changed", "journal": "Phys. Rev. A 77, 022323 (2008)", "doi": "10.1103/PhysRevA.77.022323", "categories": [ "quant-ph" ], "abstract": "A formulation for evaluating the performance of quantum error correcting codes for a general error model is presented. In this formulation, the correlation between errors is quantified by a Hamiltonian description of the noise process. We classify correlated errors using the system-bath interaction: local versus nonlocal and two-body versus many-body interactions. In particular, we consider Calderbank-Shor-Steane codes and observe a better performance in the presence of correlated errors depending on the timing of the error recovery. We also find this timing to be an important factor in the design of a coding system for achieving higher fidelities.", "revisions": [ { "version": "v2", "updated": "2008-03-06T22:51:18.000Z" } ], "analyses": { "keywords": [ "correlated errors", "better performance", "quantum codes", "quantum error correcting codes", "general error model" ], "tags": [ "journal article" ], "publication": { "publisher": "APS", "journal": "Phys. Rev. A" }, "note": { "typesetting": "TeX", "pages": 5, "language": "en", "license": "arXiv", "status": "editable" } } }