RT Journal Article
T1 Genuine multipartite entanglement of quantum states in themultiple-copy scenario
A1 Palazuelos Cabezón, Carlos
A1 Vicente, Julio I. de
AB Genuine multipartite entanglement (GME) is considered a powerful form of entanglement since it corresponds to those states that are not biseparable, i.e. a mixture of partially separable states across different bipartitions of the parties. In this work we study this phenomenon in the multiple-copy regime, where many perfect copies of a given state can be produced and controlled. In this scenario the above definition leads to subtle intricacies as biseparable states can be GME-activatable, i.e. several copies of a biseparable state can display GME. We show that the set of GMEactivatable states admits a simple characterization: a state is GME-activatable if and only if it is not partially separable across one bipartition of the parties. This leads to the second question of whether there is a general upper bound in the number of copies that needs to be considered in order to observe the activation of GME, which we answer in the negative. In particular, by providing an explicit construction, we prove that for any number of parties and any number k 2 N there exist GME-activatable multipartite states of fixed (i.e. independent of k) local dimensions such that k copies of them remain biseparable.
SN 2521-327X
YR 2022
FD 2022-06-13
LK https://hdl.handle.net/20.500.14352/71939
UL https://hdl.handle.net/20.500.14352/71939
LA eng
NO Ministerio de Ciencia e Innovación (MICINN)
NO Comunidad de Madrid
DS Docta Complutense
RD 13 abr 2025