{ "id": "1104.3916", "version": "v2", "published": "2011-04-20T01:50:23.000Z", "updated": "2011-07-18T04:51:05.000Z", "title": "Multibit C$_k$NOT quantum gates via Rydberg blockade", "authors": [ "L. Isenhower", "M. Saffman", "K. Molmer" ], "comment": "submitted to \"Quantum Information Processing\" special issue on \"Quantum Information with Neutral Particles\". v2, discussion of estimated errors expanded", "journal": "Quant. Inf. Proc. 10, 755 (2011)", "categories": [ "quant-ph", "physics.atom-ph" ], "abstract": "Long range Rydberg blockade interactions have the potential for efficient implementation of quantum gates between multiple atoms. Here we present and analyze a protocol for implementation of a $k$-atom controlled NOT (C$_k$NOT) neutral atom gate. This gate can be implemented using sequential or simultaneous addressing of the control atoms which requires only $2k+3$ or 5 Rydberg $\\pi$ pulses respectively. A detailed error analysis relevant for implementations based on alkali atom Rydberg states is provided which shows that gate errors less than 10% are possible for $k=35$.", "revisions": [ { "version": "v2", "updated": "2011-07-18T04:51:05.000Z" } ], "analyses": { "keywords": [ "quantum gates", "long range rydberg blockade interactions", "alkali atom rydberg states", "implementation", "neutral atom gate" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2011arXiv1104.3916I" } } }