{ "id": "2009.07941", "version": "v1", "published": "2020-09-16T21:19:10.000Z", "updated": "2020-09-16T21:19:10.000Z", "title": "Stabilization of Finite-Energy Gottesman-Kitaev-Preskill States", "authors": [ "Baptiste Royer", "Shraddha Singh", "S. M. Girvin" ], "comment": "Main text: 6 pages, 4 figures. Supplemental material: 27 pages, 13 figures", "categories": [ "quant-ph" ], "abstract": "We introduce a new approach to Gottesman-Kitaev-Preskill (GKP) states that treats their finite-energy version in an exact manner. Based on this analysis, we develop new qubit-oscillator circuits that autonomously stabilize a GKP manifold, correcting errors without relying on qubit measurements. Finally, we show numerically that logical information encoded in GKP states is very robust against typical oscillator noise sources when stabilized by these new circuits.", "revisions": [ { "version": "v1", "updated": "2020-09-16T21:19:10.000Z" } ], "analyses": { "keywords": [ "finite-energy gottesman-kitaev-preskill states", "stabilization", "typical oscillator noise sources", "finite-energy version", "gkp manifold" ], "note": { "typesetting": "TeX", "pages": 6, "language": "en", "license": "arXiv", "status": "editable" } } }