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Title: The conditional entropy power inequality for Gaussian quantum states

Journal Article · · Journal of Mathematical Physics
DOI:https://doi.org/10.1063/1.4906925· OSTI ID:22403100
 [1]
  1. IAS and Zentrum Mathematik, Technische Universität München, Boltzmannstrasse 3, 85748 Garching (Germany)

We propose a generalization of the quantum entropy power inequality involving conditional entropies. For the special case of Gaussian states, we give a proof based on perturbation theory for symplectic spectra. We discuss some implications for entanglement-assisted classical communication over additive bosonic noise channels.

OSTI ID:
22403100
Journal Information:
Journal of Mathematical Physics, Vol. 56, Issue 2; Other Information: (c) 2015 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA); ISSN 0022-2488
Country of Publication:
United States
Language:
English