Accessible information of a general quantum Gaussian ensemble

Abstract

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.

18 pages, 1 figure, notations improved. In the single mode case a new ex[licit form of the threshold condition is given

References in corpus (1)

• On the classical capacity of quantum Gaussian measurement

Cited by in corpus (5)

• On the classical capacity of quantum Gaussian measurement
• Deep thermalization in Gaussian continuous-variable quantum systems
• Proof of the Gaussian maximizers conjecture for the communication capacity of noisy heterodyne measurements
• On quantum channels generated by covariant positive operator-valued measures on a locally compact group
• Pretty good measurement for bosonic Gaussian ensembles