{ "id": "1109.2455", "version": "v1", "published": "2011-09-12T13:11:19.000Z", "updated": "2011-09-12T13:11:19.000Z", "title": "Compressed quantum simulation of the Ising model", "authors": [ "B. Kraus" ], "comment": "6 pages", "journal": "Phys. Rev. Lett. 107, 250503 (2011)", "doi": "10.1103/PhysRevLett.107.250503", "categories": [ "quant-ph" ], "abstract": "In [R. Jozsa, B. Kraus, A. Miyake, J. Watrous, Proc. R. Soc. A {\\bf 466}, 809-830 (2010)] it has been shown that a match gate circuit running on n qubits can be compressed to a universal quantum computation on \\log(n)+3 qubits. Here, we show how this compression can be employed to simulate the Ising interaction of a 1D--chain consisting out of n qubits using a universal quantum computer running on log(n) qubits. We demonstrate how the adiabatic evolution can be realized on this exponentially smaller system and how the magnetization, which shows a quantum phase transition, can be measured.", "revisions": [ { "version": "v1", "updated": "2011-09-12T13:11:19.000Z" } ], "analyses": { "subjects": [ "03.67.Ac", "03.67.Lx", "05.30.Rt" ], "keywords": [ "compressed quantum simulation", "ising model", "match gate circuit", "universal quantum computation", "quantum phase transition" ], "tags": [ "journal article" ], "publication": { "publisher": "APS", "journal": "Physical Review Letters", "year": 2011, "month": "Dec", "volume": 107, "number": 25, "pages": 250503 }, "note": { "typesetting": "TeX", "pages": 6, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2011PhRvL.107y0503K" } } }