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dc.contributor.authorMarx, Raimund
dc.contributor.authorFahmy, Amr
dc.contributor.authorKauffman, Louis
dc.contributor.authorLomonaco, Samuel
dc.contributor.authorPomplun, Nikolas
dc.contributor.authorMyers, John M.
dc.contributor.authorGlaser, Steffen J.
dc.contributor.authorSpörl, Andreas
dc.contributor.authorSchulte-Herbrüggen, Thomas
dc.date.accessioned2013-12-03T19:52:34Z
dc.date.available2013-12-03T19:52:34Z
dc.date.issued2010-03
dc.identifier.bibliographicCitationMarx R, Fahmy A, Kauffman L, Lomonaco S, Spörl A, Pomplun N, Schulte-Herbrüggen T, Myers JM, Glaser SJ. Nuclear-magnetic-resonance quantum calculations of the Jones polynomial. Physical Review A. 2010 Mar 1;81(3). doi:10.1103/PhysRevA.81.032319en_US
dc.identifier.issn1050-2947
dc.identifier.urihttp://hdl.handle.net/10027/10729
dc.descriptionThis is a copy of an article published in the Physical Review A © 2010 American Physical Society. The final publication is available at http://pra.aps.org/.en_US
dc.description.abstractThe repertoire of problems theoretically solvable by a quantum computer recently expanded to include the approximate evaluation of knot invariants, specifically the Jones polynomial. The experimental implementation of this evaluation, however, involves many known experimental challenges. Here we present experimental results for a small-scale approximate evaluation of the Jones polynomial by nuclear magnetic resonance (NMR); in addition, we show how to escape from the limitations of NMR approaches that employ pseudopure states. Specifically, we use two spin-1/2 nuclei of natural abundance chloroform and apply a sequence of unitary transforms representing the trefoil knot, the figure-eight knot, and the Borromean rings. After measuring the nuclear spin state of the molecule in each case, we are able to estimate the value of the Jones polynomial for each of the knots.en_US
dc.description.sponsorshipA.F. thanks NIH GM47467. S.G. acknowledges support from the integratedEUprojectQAP, the Deutsche Forschungsgemeinschaft (SFB-631), and from the Elite Network of Bavaria program QCCC.en_US
dc.language.isoen_USen_US
dc.publisherAmerican Physical Societyen_US
dc.titleNuclear-magnetic-resonance quantum calculations of the Jones polynomialen_US
dc.typeArticleen_US


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