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Gaussian transformations and distillation of entangled Gaussian states
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We prove that it is impossible to distill more entanglement from a single copy of a two-mode bipartite entangled Gaussian state via LOCC Gaussian operations. More generally, we show that any hypothetical distillation protocol for Gaussian states involving only Gaussian operations would be a deterministic protocol. Finally, we argue that the protocol considered by Eisert et al. [quant-ph/0204052] is the optimum Gaussian distillation protocol for two copies of entangled Gaussian states.
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Quantum Circuit Fragments and Link Products in Continuous Variables
A continuous-variable link product for quantum circuit fragments is defined, with an efficient Gaussian covariance-matrix algorithm and demonstrations on non-Markovian and agent-environment processes.
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