The one-mode quantum-limited Gaussian attenuator and amplifier have Gaussian maximizers
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Publication:1991511
DOI10.1007/s00023-018-0703-5zbMath1410.81011arXiv1610.09967OpenAlexW2887246934WikidataQ62043477 ScholiaQ62043477MaRDI QIDQ1991511
Vittorio Giovannetti, Dario Trevisan, Giacomo De Palma
Publication date: 30 October 2018
Published in: Annales Henri Poincaré (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1610.09967
Quantum information, communication, networks (quantum-theoretic aspects) (81P45) Quantum state spaces, operational and probabilistic concepts (81P16)
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Norms of quantum Gaussian multi-mode channels ⋮ The entropy power inequality with quantum conditioning ⋮ Gaussian optimizers for entropic inequalities in quantum information ⋮ The conditional entropy power inequality for quantum additive noise channels ⋮ The squashed entanglement of the noiseless quantum Gaussian attenuator and amplifier
Cites Work
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- An analog of the 2-Wasserstein metric in non-commutative probability under which the fermionic Fokker-Planck equation is gradient flow for the entropy
- Gaussian kernels have only Gaussian maximizers
- A note on the \(p \rightarrow q\) norms of 2-positive maps
- On the relation between classical and quantum-mechanical entropy
- Proof of an entropy conjecture of Wehrl
- Proof of an entropy conjecture for Bloch coherent spin states and its generalizations
- A solution of Gaussian optimizer conjecture for quantum channels
- Gradient flow and entropy inequalities for quantum Markov semigroups with detailed balance
- Hypercontractivity for a quantum Ornstein-Uhlenbeck semigroup
- Majorization and additivity for multimode bosonic Gaussian channels
- Passive States Optimize the Output of Bosonic Gaussian Quantum Channels
- Gaussian States Minimize the Output Entropy of the One-Mode Quantum Attenuator
- The Entropy Power Inequality for Quantum Systems
- Generalized minimal output entropy conjecture for one-mode Gaussian channels: definitions and some exact results
- Quantum information with continuous variables
- Gaussian optimizers and the additivity problem in quantum information theory
- Gaussian optimizers for entropic inequalities in quantum information
- Methods in Theoretical Quantum Optics
- Monotonic Convergence in an Information-Theoretic Law of Small Numbers
- Quantum Continuous Variables
- Monotonicity, Thinning, and Discrete Versions of the Entropy Power Inequality
- Thinning, Entropy, and the Law of Thin Numbers
- Norms of quantum Gaussian multi-mode channels
- Multiplicativity ofp-norms of completely positive maps and the additivity problem in quantum information theory
- Elements of Information Theory
- Quantum Information Processing with Finite Resources
- Ordinary Differential Equations
- Quantum Information Theory
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