A general inequality bounds the Holevo quantity of any quantum ensemble by a combination of the Holevo quantities of two auxiliary ensembles plus a mean binary entropy term, yielding simple distance-based upper bounds.
Accessible information of a general quantum Gaussian ensemble
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Accessible information, which is a basic quantity in quantum information theory, is computed for a general quantum Gaussian ensemble under certain "threshold condition". It is shown that the maximizing measurement is Gaussian, constituting a far-reaching generalization of the optical heterodyning. This substantially extends the previous result concerning the gauge-invariant case, even for a single bosonic mode.
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Upper bounds on the Holevo quantity arising from the fundamental entropic inequality
A general inequality bounds the Holevo quantity of any quantum ensemble by a combination of the Holevo quantities of two auxiliary ensembles plus a mean binary entropy term, yielding simple distance-based upper bounds.