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In an earlier seminar I discussed the necessity part of the inequalities that a solution to the Gaussian quantum marginal problem has to satisfy. In this talk I will discuss the sufficiency part, mostly repeating and making explicit details in the proof in [1]. I will also discuss a representation of the N-mode symplectic transformations that enter the construction in terms of chains of two-mode symplectic transformations.
[1] "Gaussian Quantum Marginal Problem", Eisert et al, Comm Math Phys 280, 2008)
263–280 (