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Title: The conditional entropy power inequality for Gaussian quantum states

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.
Authors:
 [1]
  1. IAS and Zentrum Mathematik, Technische Universit√§t M√ľnchen, Boltzmannstrasse 3, 85748 Garching (Germany)
Publication Date:
OSTI Identifier:
22403100
Resource Type:
Journal Article
Resource Relation:
Journal Name: Journal of Mathematical Physics; Journal Volume: 56; Journal Issue: 2; Other Information: (c) 2015 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; ENTROPY; PERTURBATION THEORY; QUANTUM ENTANGLEMENT; QUANTUM MECHANICS; QUANTUM STATES