{ "id": "quant-ph/0107106", "version": "v2", "published": "2001-07-20T16:22:38.000Z", "updated": "2004-06-11T18:50:59.000Z", "title": "The Quantum Entanglement of Binary and Bipolar Sequences", "authors": [ "M. G. Parker", "V. Rijmen" ], "comment": "34 pages. Presented in part at SETA01, Bergen, Norway, May 13-17, 2001. v2: Minor (but annoying) equation typos fixed", "journal": "Sequences and Their Applications, SETA'01, Discrete Mathematics and Theoretical Computer Science Series, Springer, 2001, Ed.: T.Helleseth, P.V.Kumar and K.Yang", "categories": [ "quant-ph" ], "abstract": "Classification of different forms of quantum entanglement is an active area of research, central to development of effective quantum computers, and similar to classification of error-correction codes, where code duality is broadened to equivalence under all 'local' unitary transforms. We explore links between entanglement, coding theory, and sequence design, by examining multi-spectra of quantum states under local unitary action, and show that optimal error-correcting codes and sequences represent states with high multiparticle entanglement.", "revisions": [ { "version": "v2", "updated": "2004-06-11T18:50:59.000Z" } ], "analyses": { "keywords": [ "quantum entanglement", "bipolar sequences", "sequences represent states", "local unitary action", "high multiparticle entanglement" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 34, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2001quant.ph..7106P" } } }