Constrained optimization of sequentially generated entangled multiqubit states
| dc.contributor.author | Saberi, Hamed | |
| dc.contributor.author | Weichselbaum, Andreas | |
| dc.contributor.author | Lamata, Lucas | |
| dc.contributor.author | Pérez García, David | |
| dc.contributor.author | Delft, Jan von | |
| dc.contributor.author | Solano, Enrique | |
| dc.date.accessioned | 2023-06-20T09:44:47Z | |
| dc.date.available | 2023-06-20T09:44:47Z | |
| dc.date.issued | 2009 | |
| dc.description.abstract | We demonstrate how the matrix-product state formalism provides a flexible structure to solve the constrained optimization problem associated with the sequential generation of entangled multiqubit states under experimental restrictions. We consider a realistic scenario in which an ancillary system with a limited number of levels performs restricted sequential interactions with qubits in a row. The proposed method relies on a suitable local optimization procedure, yielding an efficient recipe for the realistic and approximate sequential generation of any entangled multiqubit state. We give paradigmatic examples that may be of interest for theoretical and experimental developments. | |
| dc.description.department | Depto. de Análisis Matemático y Matemática Aplicada | |
| dc.description.faculty | Fac. de Ciencias Matemáticas | |
| dc.description.faculty | Instituto de Matemática Interdisciplinar (IMI) | |
| dc.description.refereed | TRUE | |
| dc.description.sponsorship | MEC | |
| dc.description.status | pub | |
| dc.eprint.id | https://eprints.ucm.es/id/eprint/17711 | |
| dc.identifier.doi | 10.1103/PhysRevA.80.022334 | |
| dc.identifier.issn | 1050-2947 | |
| dc.identifier.officialurl | http://link.aps.org/doi/10.1103/PhysRevA.80.022334 | |
| dc.identifier.relatedurl | http://www.aps.org/ | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14352/50290 | |
| dc.journal.title | Physical Review A | |
| dc.language.iso | eng | |
| dc.page.final | 1 | |
| dc.page.initial | 022334 | |
| dc.publisher | American Physical Society | |
| dc.relation.projectID | (FIS( 2008-05705/FIS) | |
| dc.relation.projectID | (MTM2005-00082) | |
| dc.relation.projectID | (CCG07-UCM/ESP-2797) | |
| dc.relation.projectID | EU EuroSQIP project | |
| dc.relation.projectID | UPV-EHU Grant Nº GIU 07/40 | |
| dc.rights.accessRights | open access | |
| dc.subject.cdu | 530.145 | |
| dc.subject.ucm | Teoría de los quanta | |
| dc.subject.unesco | 2210.23 Teoría Cuántica | |
| dc.title | Constrained optimization of sequentially generated entangled multiqubit states | |
| dc.type | journal article | |
| dc.volume.number | 80 | |
| dcterms.references | M. A. Nielsen and I. L. Chuang, Quantum Computation and Quantum Information (Cambridge University Press, Cambridge, England, 2000). C. Schön, E. Solano, F. Verstraete, J. I. Cirac, and M. M. Wolf, Phys. Rev. Lett. 95, 110503 (2005). C. Schön, K. Hammerer, M. M. Wolf, J. I. Cirac, and E. Solano, Phys. Rev. A 75, 032311 (2007). D. Pérez-García, F. Verstraete, M. M. Wolf, and J. I. Cirac, Quantum Inf. Comput. 7, 401 (2007). M. Fannes, B. Nachtergaele, and R. F. Werner, Commun. Math. Phys. 144, 443 (1992) [INSPIRE]. S. R. White, Phys. Rev. Lett. 69, 2863 (1992) [MEDLINE]; U. S. Östlund and S. Rommer, Phys. Rev. Lett. 75, 3537 (1995) [MEDLINE]. H. R. Krishna-Murthy, J. W. Wilkins, and K. G. Wilson, Phys. Rev. B 21, 1003 (1980). H. Saberi, A. Weichselbaum, and J. von Delft, Phys. Rev. B 78, 035124 (2008). D. M. Greenberger, M. Horne, and A. Zeilinger, in Bell’s Theorem, Quantum Theory, and Conceptions of the Universe, edited by M. Kafatos (Kluwer, Dordrecht, 1989). W. Dür, G. Vidal, and J. I. Cirac, Phys. Rev. A 62, 062314 (2000). R. Raussendorf and H. J. Briegel, Phys. Rev. Lett. 86, 5188 (2001) [CAS]. J.-W. Pan et al., Nature (London) 403, 515 (2000). D. Leibfried et al., Nature (London) 438, 639 (2005) [CAS]. H. Häffner et al., Nature (London) 438, 643 (2005). A. Rauschenbeutel et al., Science 288, 2024 (2000) [CAS]. N. Kiesel, C. Schmid, G. Tóth, E. Solano, and H. Weinfurter, Phys. Rev. Lett. 98, 063604 (2007). N. Kiesel, C. Schmid, U. Weber, G. Toth, O. Guhne, R. Ursin, and H. Weinfurter, Phys. Rev. Lett. 95, 210502 (2005). D. P. Bertsekas, Constrained Optimization and Lagrange Multiplier Methods (Athena Scientific, Belmont, MA, 1996). H. C. Andrews and C. L. Patterson, IEEE Trans. Commun. 24, 425 (1976). G. H. Golub and C. F. Van Loan, Matrix Computations (The Johns Hopkins University Press, Baltimore, MD, 1996). R. A. Horn and C. R. Johnson, Topics in Matrix Analysis (Cambridge University Press, Cambridge, England, 1991). F. Verstraete, D. Porras, and J. I. Cirac, Phys. Rev. Lett. 93, 227205 (2004) [CAS]. G. Vidal, Phys. Rev. Lett. 91, 147902 (2003). K. R. Brown, J. Vala, and K. B. Whaley, Phys. Rev. A 67, 012309 (2003). See, for example, J. Zhang and K. B. Whaley, Phys. Rev. A 71, 052317 (2005), and references therein. T. Schulte-Herbrüggen, A. Spörl, N. Khaneja, and S. J. Glaser, Phys. Rev. A 72, 042331 (2005). N. Timoney, V. Elman, W. Neuhauser, and C. Wunderlich, Phys. Rev. A 77, 052334 (2008). | |
| dspace.entity.type | Publication | |
| relation.isAuthorOfPublication | 5edb2da8-669b-42d1-867d-8fe3144eb216 | |
| relation.isAuthorOfPublication.latestForDiscovery | 5edb2da8-669b-42d1-867d-8fe3144eb216 |
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