A note on the \(p \rightarrow q\) norms of 2-positive maps

DOI10.1016/j.laa.2008.09.040zbMath1163.47015OpenAlexW2058858559MaRDI QIDQ999822

Koenraad M. R. Audenaert

Publication date: 10 February 2009

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2008.09.040

zbMATH Keywords

Schatten normquantum channel2-positive mapmaximal output purity

Mathematics Subject Classification ID

Applications of operator algebras to the sciences (47L90) Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Quantum equilibrium statistical mechanics (general) (82B10) Logical foundations of quantum mechanics; quantum logic (quantum-theoretic aspects) (81P10)

Related Items

Gaussian optimizers and the additivity problem in quantum information theory, Gaussian optimizers for entropic inequalities in quantum information, Strong converse for the feedback-assisted classical capacity of entanglement-breaking channels, Impossibility of local state transformation via hypercontractivity, Hypercontractivity for semigroups of unital qubit channels, Channel capacities via \( p\)-summing norms, The one-mode quantum-limited Gaussian attenuator and amplifier have Gaussian maximizers, Sandwiched Rényi divergence satisfies data processing inequality, Entropy production of doubly stochastic quantum channels, Nonadditivity of Rényi entropy and Dvoretzky’s theorem, Potential output purity of completely positive maps

Cites Work

• States, effects, and operations. Fundamental notions of quantum theory. Lectures in mathematical physics at the University of Texas at Austin. Ed. by A. Böhm, J. D. Dollard and W. H. Wootters
• Completely positive linear maps on complex matrices
• On the Multiplicativity Hypothesis for Quantum Communication Channels
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