{ "id": "1202.2593", "version": "v3", "published": "2012-02-13T00:33:46.000Z", "updated": "2012-06-04T11:57:05.000Z", "title": "Error threshold estimates for surface code with loss of qubits", "authors": [ "Masayuki Ohzeki" ], "comment": "4 pages, 3 figures, 2 tables, title changed", "categories": [ "quant-ph", "cond-mat.dis-nn", "cond-mat.stat-mech" ], "abstract": "We estimate optimal thresholds for surface code in the presence of loss via an analytical method developed in statistical physics. The optimal threshold for the surface code is closely related to a special critical point in a finite-dimensional spin glass, which is disordered magnetic material. We compare our estimations to the heuristic numerical results reported in earlier studies. Further application of our method to the depolarizing channel, a natural generalization of the noise model, unveils its wider robustness even with loss of qubits.", "revisions": [ { "version": "v3", "updated": "2012-06-04T11:57:05.000Z" } ], "analyses": { "subjects": [ "03.67.Lx", "03.67.Pp", "75.50.Lk" ], "keywords": [ "surface code", "error threshold estimates", "estimate optimal thresholds", "finite-dimensional spin glass", "wider robustness" ], "tags": [ "journal article" ], "publication": { "doi": "10.1103/PhysRevA.85.060301", "journal": "Physical Review A", "year": 2012, "month": "Jun", "volume": 85, "number": 6, "pages": "060301" }, "note": { "typesetting": "TeX", "pages": 4, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2012PhRvA..85f0301O" } } }