Reference : Separable states with infinitely many separable decompositions
Scientific congresses and symposiums : Poster
Physical, chemical, mathematical & earth Sciences : Physics
http://hdl.handle.net/2268/213366
Separable states with infinitely many separable decompositions
English
[fr] Etats séparables possédant un nombre infini de décompositions séparables
Neven, Antoine mailto [Université de Liège > Département de physique > Spectroscopie atomique et Physique des atomes froids >]
Bastin, Thierry mailto [Université de Liège > Département de physique > Spectroscopie atomique et Physique des atomes froids >]
9-Jun-2017
No
National
Annual meeting of the CESAM Reasearch Unit
9th of June 2017
CESAM Reasearch Unit
Liège
Belgium
[en] Separable states ; Separable decompositions
[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.
Fonds pour la formation à la Recherche dans l'Industrie et dans l'Agriculture (Communauté française de Belgique) - FRIA
http://hdl.handle.net/2268/213366

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