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Finite de Finetti Theorem for Infinite-Dimensional Systems
We formulate and prove a de Finetti representation theorem for finitely exchangeable states of a quantum system consisting of $k$ infinite-dimensional subsystems. The theorem is valid for states that can be written as the partial trace of a pure state $|\ensuremath{\Psi}⟩⟨\ensuremath{\Psi}|$ chosen from a family of subsets ${{\mathcal{C}}_{n}}$ of the …