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Information capacity of continuous variable measurement channel

Quantum Physics 2020-08-31 v3 Mathematical Physics math.MP

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.

Keywords

Cite

@article{arxiv.1910.05062,
  title  = {Information capacity of continuous variable measurement channel},
  author = {A. S. Holevo and A. A. Kuznetsova},
  journal= {arXiv preprint arXiv:1910.05062},
  year   = {2020}
}

Comments

13 pages, Appendix corrected

R2 v1 2026-06-23T11:40:46.137Z