Partial multipartite entanglement in the matrix product state formalism

Author(s)
Andreas Gabriel, Valentin Murg, Beatrix C. Hiesmayr
Abstract

We present a method to apply the well-known matrix product state formalism to partially separable states in solid-state systems. The computational effort of our method is equal to the effort of the standard density matrix renormalization group (DMRG) algorithm. Consequently, it is applicable to all the usually considered condensed-matter systems where the DMRG algorithm is successful. We also show in exemplary cases that polymerization properties of ground states are closely connected to properties of partial separability, even if the ground state itself is not partially separable.

Organisation(s)
Particle Physics, Quantum Optics, Quantum Nanophysics and Quantum Information
Journal
Physical Review A
Volume
88
No. of pages
4
ISSN
1050-2947
DOI
https://doi.org/10.1103/PhysRevA.88.052334
Publication date
11-2013
Peer reviewed
Yes
Austrian Fields of Science 2012
103036 Theoretical physics, 103034 Particle physics, 103025 Quantum mechanics
Keywords
Portal url
https://ucris.univie.ac.at/portal/en/publications/partial-multipartite-entanglement-in-the-matrix-product-state-formalism(ed2baccb-5de1-4fce-b4e2-6598f59a1e31).html