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Quantum state majorization at the output of bosonic Gaussian channels
Nature Communication. 2014. Vol. 5. P. 3826.
A. S. Holevo, Giovannetti V., Mari A.
We show that every output state of a phase insensitive bosonic Gaussian channel is majorized by the output of the channel applied to an arbitrary coherent state. The proof is based on the optimality of coherent states for the minimization of strictly concave output functionals. Moreover we show that coherent states are the unique optimizers.
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