[en] Despite intense effort in the past decades, developing a general criterion for identifying separable mixed states is still an open problem. In this context, the Positive Partial Transpose (PPT) criterion constituted an important first step towards practical entanglement detection techniques and was later used to investigate the auxiliary problem of finding separable decompositions for separable states. In this poster, we use the rank diminishing method proposed by B. Kraus et al. [PRA 61, 062302 (2000)], that exploits the PPT property to reconstruct separable decompositions, to study the separable decompositions of symmetric PPT states of 3 qubits. We show that any 3-qubit symmetric product states always belong to an optimal separable decomposition of a PPT symmetric 3-qubit state with maximal birank.
Disciplines :
Physics
Author, co-author :
Neven, Antoine ; Université de Liège > Département de physique > Spectroscopie atomique et Physique des atomes froids
Bastin, Thierry ; Université de Liège > Département de physique > Spectroscopie atomique et Physique des atomes froids
Language :
English
Title :
Separable states with infinitely many separable decompositions
Alternative titles :
[fr] Etats séparables possédant un nombre infini de décompositions séparables
Publication date :
09 June 2017
Event name :
Annual meeting of the CESAM Reasearch Unit
Event organizer :
CESAM Reasearch Unit
Event place :
Liège, Belgium
Event date :
9th of June 2017
Funders :
FRIA - Fonds pour la Formation à la Recherche dans l'Industrie et dans l'Agriculture
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