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QI: Fachverband Quanteninformation
QI 5: Entanglement Theory
QI 5.3: Vortrag
Montag, 18. März 2024, 15:45–16:00, HFT-FT 101
Concurrence of entangled states in d× d dimensions with relaxed axisymmetry — •Juan Arnaudas1 and Jens Siewert2,3 — 1BCAM - Basque Center for Applied Mathematics, E-48009 Bilbao, Spain — 2University of the Basque Country UPV/EHU, E-48080 Bilbao, Spain — 3Ikerbasque, Basque Foundation for Science, E-48013 Bilbao, Spain
Families of highly symmetric states are an interesting playground for entanglement theory, because sometimes an exact solution to the entanglement problem is possible for them. This way they reveal the structure of the space of entangled states and may serve as a benchmark for other methods, e.g., for entanglement witnesses. An interesting example of such a family are the bipartite states with
relaxed axisymmetry, in particular, because a fraction of them are entangled with a positive partial transpose (PPT). For a facet of this family the separability problem could be solved for any finite dimension d [1], and for d=3 a numerically exact solution for the concurrence was presented [2], thereby exactly quantifying also the PPT entanglement.
In this work we explore the possibility of analytically proving the d=3 result and to extend it to higher dimensions.
[1] M. Seelbach Benkner et al., Phys. Rev. A 106, 022415 (2022).
[2] G. Sentís et al., Phys. Rev. A 94, 020302(R) (2016).
Keywords: bipartite entanglement; positive partial transpose; entanglement measures