Information capacity of continuous variable measurement channel

Abstract

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.

13 pages, Appendix corrected

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• The information capacity of entanglement-assisted continuous variable measurement
• Proof of the Gaussian maximizers conjecture for the communication capacity of noisy heterodyne measurements
• The structure of general quantum Gaussian observable
• Quantum information aspects of approximate position measurement