The conditional entropy power inequality for Gaussian quantum states

DOI10.1063/1.4906925zbMath1310.81038arXiv1304.7031OpenAlexW3098764026MaRDI QIDQ5178213

Robert Koenig

Publication date: 13 March 2015

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

Full work available at URL: https://arxiv.org/abs/1304.7031

zbMATH Keywords

quantum entropyFisher informationentanglementsymplectic eigenvaluesconditional entropy increaseGaussian quantum statesstandard entropy

Mathematics Subject Classification ID

Measures of information, entropy (94A17) Channel models (including quantum) in information and communication theory (94A40) Coding theorems (Shannon theory) (94A24) Quantum information, communication, networks (quantum-theoretic aspects) (81P45) Quantum coding (general) (81P70)

Related Items (18)

The entropy power inequality with quantum conditioning ⋮ The conditional entropy power inequality for bosonic quantum systems ⋮ Perturbation bounds for Williamson's symplectic normal form ⋮ Derivatives of symplectic eigenvalues and a Lidskii type theorem ⋮ Coherent state coding approaches the capacity of non-Gaussian bosonic channels ⋮ Uncertainty relations with quantum memory for the Wehrl entropy ⋮ Gaussian optimizers for entropic inequalities in quantum information ⋮ First order sensitivity analysis of symplectic eigenvalues ⋮ Contractivity properties of a quantum diffusion semigroup ⋮ Geometric inequalities from phase space translations ⋮ Weighted \(p\)-Rényi entropy power inequality: information theory to quantum Shannon theory ⋮ Quantum Rényi entropy functionals for bosonic Gaussian systems ⋮ Upper bounds on the private capacity for bosonic Gaussian channels ⋮ Conditional quantum entropy power inequality ford-level quantum systems ⋮ The conditional entropy power inequality for quantum additive noise channels ⋮ The squashed entanglement of the noiseless quantum Gaussian attenuator and amplifier ⋮ Entropy power inequalities for qudits ⋮ Refined diamond norm bounds on the emergence of objectivity of observables

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