Eventually entanglement breaking maps

DOI10.1063/1.5024385zbMath1391.81037arXiv1801.05542OpenAlexW2782846006WikidataQ129714620 ScholiaQ129714620MaRDI QIDQ4575957

Mizanur Rahaman, Samuel Jaques, Vern I. Paulsen

Publication date: 16 July 2018

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

Full work available at URL: https://arxiv.org/abs/1801.05542

zbMATH Keywords

positive partial transpose

Mathematics Subject Classification ID

Channel models (including quantum) in information and communication theory (94A40) Quantum coherence, entanglement, quantum correlations (81P40)

Related Items (17)

Entanglement-breaking channels with general outcome operator algebras ⋮ The \(\mathrm{PPT}^2\) conjecture holds for all Choi-type maps ⋮ Eventually entanglement breaking Markovian dynamics: structure and characteristic times ⋮ Roots of completely positive maps ⋮ Positive maps and entanglement in real Hilbert spaces ⋮ Asymptotics of quantum channels ⋮ When do composed maps become entanglement breaking? ⋮ \(C^\ast\)-extreme entanglement breaking maps on operator systems ⋮ Mapping cone of \(k\)-entanglement breaking maps ⋮ Convex cones in mapping spaces between matrix algebras ⋮ Decomposable Pauli diagonal maps and tensor squares of qubit maps ⋮ On period, cycles and fixed points of a quantum channel ⋮ The PPT square conjecture holds generically for some classes of independent states ⋮ Compositions and tensor products of linear maps between matrix algebras ⋮ Asymptotic properties for Markovian dynamics in quantum theory and general probabilistic theories ⋮ Quantum \(J\)-channels on Krein spaces ⋮ Nullspaces of entanglement breaking channels and applications

Cites Work

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• A Schwarz inequality for positive linear maps on C\(^*\)-algebras
• Separable states and positive maps
• Minimal and maximal operator spaces and operator systems in entanglement theory
• Entanglement-saving channels
• Entanglement–breaking indices
• Spectral Properties of Positive Maps on C^* -Algebras
• The Theory of Quantum Information
• The capacity of hybrid quantum memory
• Positive Linear Maps of Operator Algebras
• Entanglement Breaking Channels
• Multiplicative properties of quantum channels

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