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arXiv:0810.0977 (October 2008)
Constrained Optimization of Sequentially Generated Entangled Multiqubit States
Hamed Saberi, Andreas Weichselbaum, Lucas Lamata, David Pérez-García, Jan von Delft and Enrique Solano
Departamento de Química Física, Universidad del País Vasco - Euskal Herriko Unibertsitatea, Apdo. 644, 48080 Bilbao, Spain
Dpto. Análisis Matemático, Universidad Complutense de Madrid, 28040 Madrid, Spain
Physics Department, ASC and CeNS, Ludwig-Maximilians-Universität, Theresienstr. 37, 80333 Munich, Germany
Max-Planck-Institut für Quantenoptik, Hans-Kopfermann-Strasse 1, 85748 Garching, Germany
Received. 06 October 2008  Last updated. 06 October 2008
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.
Categories. quant-ph cond-mat.mes-hall cond-mat.str-el
Subject. Mesoscopic Systems and Quantum Hall Effect; Strongly Correlated Electrons
Comment. 4 pages, 3 figures
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