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arXiv:1106.5664 · Quantum Information Processing

Examining the dimensionality of genuine multipartite entanglement

Christoph Spengler, Marcus Huber, Andreas Gabriel, Beatrix C. Hiesmayr

Published Feb 17, 2012• 20 citations
arXivHTMLPDF
DOI
10.1007/s11128-012-0369-8

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We investigate the emergence and properties of long-distance genuine multipartite entanglement, induced via three localized magnetic defects, in a one-dimensional transverse-field XXXXXX spin-1/21/21/2 chain. Using both analytical and numerical techniques, we determine the conditions for the existence of bound states localized at the defects. We find that the reduced density matrix (RDM) of the defects exhibits long-distance genuine multipartite entanglement (GME) across the whole range of the Hamiltonian parameter space, including regions where the two-qubit concurrence is zero. We quantify the entanglement by using numerical lower bounds for the GME concurrence, as well as by analytically deriving the GME concurrence in regions where the RDM is of rank 2. Our work provides insights into generating multipartite entanglement in many-body quantum systems via local control techniques.