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Information capacity of continuous variable measurement channel

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arxiv 1910.05062 v3 pith:EVDJUOM2 submitted 2019-10-11 quant-ph math-phmath.MP

classification quant-phmath-phmath.MP
keywords measurementcapacitychannelchannelsclassicalgaussianobtainedapply
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The present paper is devoted to investigation of the classical capacity of infinite-dimensional quantum measurement channels. A number of usable conditions are introduced that enable us to apply previously obtained general results to specific models, in particular, to the multi-mode bosonic Gaussian measurement channels. An explicit formula for the classical capacity of the Gaussian measurement channel is obtained in this paper without assuming the global gauge symmetry, solely under certain "threshold condition". The result is illustrated by the capacity computation for one-mode squeezed-noise heterodyne measurement channel.

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