{ "id": "1208.5015", "version": "v2", "published": "2012-08-24T17:34:57.000Z", "updated": "2013-03-14T09:29:26.000Z", "title": "Quantum state tomography by continuous measurement and compressed sensing", "authors": [ "A. Smith", "C. A. Riofrío", "B. E. Anderson", "H. Sosa-Martinez", "I. H. Deutsch", "P. S. Jessen" ], "journal": "Physical Review A 87, 030102(R) (2013)", "doi": "10.1103/PhysRevA.87.030102", "categories": [ "quant-ph" ], "abstract": "The need to perform quantum state tomography on ever larger systems has spurred a search for methods that yield good estimates from incomplete data. We study the performance of compressed sensing (CS) and least squares (LS) estimators in a fast protocol based on continuous measurement on an ensemble of cesium atomic spins. Both efficiently reconstruct nearly pure states in the 16-dimensional ground manifold, reaching average fidelities FCS = 0.92 and FLS = 0.88 using similar amounts of incomplete data. Surprisingly, the main advantage of CS in our protocol is an increased robustness to experimental imperfections.", "revisions": [ { "version": "v2", "updated": "2013-03-14T09:29:26.000Z" } ], "analyses": { "subjects": [ "03.65.Wj", "42.50.Dv", "03.67.-a" ], "keywords": [ "continuous measurement", "compressed sensing", "incomplete data", "perform quantum state tomography", "reaching average fidelities fcs" ], "tags": [ "journal article" ], "publication": { "publisher": "APS", "journal": "Physical Review A", "year": 2013, "month": "Mar", "volume": 87, "number": 3, "pages": "030102" }, "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2013PhRvA..87c0102S" } } }