{ "id": "quant-ph/0109115", "version": "v8", "published": "2001-09-22T08:51:28.000Z", "updated": "2003-05-05T16:06:00.000Z", "title": "Necessary conditions for the efficient simulation of Hamiltonians using local unitary operations", "authors": [ "Hao Chen" ], "comment": "published version", "journal": "Quantum Information and Compuation, Vol.3,no.3(2003)", "categories": [ "quant-ph" ], "abstract": "We study necessary conditions for the efficient simulation of both bipartite and multipartite Hamiltonians, which are independent of the eigenvalues and based on the algebraic-geometric invariants introduced in [1-2]. Our results indicate that the problem of efficient simulation of Hamiltonians for arbitrary and multipartite quantum systems cannot be described by using only eigenvalues, unlike that in the two-qubit case.", "revisions": [ { "version": "v8", "updated": "2003-05-05T16:06:00.000Z" } ], "analyses": { "keywords": [ "efficient simulation", "local unitary operations", "study necessary conditions", "multipartite quantum systems", "two-qubit case" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2001quant.ph..9115C" } } }