Breaking Gaussian incompatibility on continuous variable quantum systems

DOI10.1063/1.4928044zbMath1327.81088arXiv1505.00833OpenAlexW1517865037WikidataQ62561373 ScholiaQ62561373MaRDI QIDQ2945497

Jussi Schultz, Teiko Heinosaari, Jukka Kiukas

Publication date: 11 September 2015

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

Full work available at URL: https://arxiv.org/abs/1505.00833

zbMATH Keywords

Gaussian stateGaussian measuremententanglement breaking channelGaussian observableincompatibility breaking channel

Mathematics Subject Classification ID

Operator spaces and completely bounded maps (46L07) Quantum optics (81V80) Logical foundations of quantum mechanics; quantum logic (quantum-theoretic aspects) (81P10) Channel models (including quantum) in information and communication theory (94A40) Quantum coherence, entanglement, quantum correlations (81P40) Coding theorems (Shannon theory) (94A24) Quantum information, communication, networks (quantum-theoretic aspects) (81P45)

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Cites Work

• Quantum systems, channels, information. A mathematical introduction.
• Entanglement-breaking channels in infinite dimensions
• Commutative POVMs and fuzzy observables
• Completely positive maps on the CCR-algebra
• Informationally complete sets of Gaussian measurements
• Quantum information with continuous variables
• Steering, Entanglement, Nonlocality, and the Einstein-Podolsky-Rosen Paradox
• Incompatibility breaking quantum channels
• Quantum steering of multimode Gaussian states by Gaussian measurements: monogamy relations and the Peres conjecture

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