Gaussian optimizers for entropic inequalities in quantum information

DOI10.1063/1.5038665zbMath1395.81062arXiv1803.02360OpenAlexW2793053983WikidataQ62043468 ScholiaQ62043468MaRDI QIDQ4586465

Giacomo De Palma, Dario Trevisan, Luigi Ambrosio, Vittorio Giovannetti

Publication date: 13 September 2018

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1803.02360

zbMATH Keywords

Gaussian channelsYoung's inequality

Mathematics Subject Classification ID

Antennas, waveguides in optics and electromagnetic theory (78A50) Coherent states (81R30) Measures of information, entropy (94A17) Channel models (including quantum) in information and communication theory (94A40) Quantum information, communication, networks (quantum-theoretic aspects) (81P45)

Related Items

The entropy power inequality with quantum conditioning ⋮ A non-commutative entropic optimal transport approach to quantum composite systems at positive temperature ⋮ Schatten class operators in a representation space of canonical commutation relations ⋮ Coarse Ricci curvature of quantum channels ⋮ On conditions for an operator to be in the class ⋮ Quantum optimal transport with quantum channels ⋮ Accessible information of a general quantum Gaussian ensemble ⋮ The conditional entropy power inequality for quantum additive noise channels ⋮ The one-mode quantum-limited Gaussian attenuator and amplifier have Gaussian maximizers ⋮ The squashed entanglement of the noiseless quantum Gaussian attenuator and amplifier ⋮ \(J\)-states and quantum channels between indefinite metric spaces

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