%0 Journal Article %A Cadarso, Andrea %A Sanz, Mikel %A Wolf, Michael M. %A Cirac, J.I. %A Pérez García, David %T Entanglement, fractional magnetization, and long-range interactions %D 2013 %@ 1098-0121 %U https://hdl.handle.net/20.500.14352/33252 %X Based on the theory of Matrix Product States, we give precise statements and complete analytical proofs of the following claim: a large fractionalization in the magnetization or the need of long-range interactions imply large entanglement in the state of a quantum spin chain. %~