Multiplicativity properties of entrywise positive maps

DOI10.1016/j.laa.2005.02.035zbMath1082.15043arXivquant-ph/0409181OpenAlexW2016199340MaRDI QIDQ2484404

Mary Beth Ruskai, Michael H. Nathanson, Christopher K. King

Publication date: 1 August 2005

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

Full work available at URL: https://arxiv.org/abs/quant-ph/0409181

zbMATH Keywords

quantum information theoryHölder inequalityconvolution operatorsSchatten normsentrywise positive mapsGaussian bosonic channelsmaximal \(p\to q\) normmultiplicativity conjecture

Mathematics Subject Classification ID

Quantum computation (81P68) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Positive matrices and their generalizations; cones of matrices (15B48) Algebraic systems of matrices (15A30) Multilinear algebra, tensor calculus (15A69)

Related Items (8)

New multiplicativity results for qubit maps ⋮ Complementarity and additivity for covariant channels ⋮ Absolutely separating quantum maps and channels ⋮ Comments on Hastings' additivity counterexamples ⋮ Counterexamples to the maximal \(p\)-norm multiplicativity conjecture for all \(p>1\) ⋮ An application of decomposable maps in proving multiplicativity of low dimensional maps ⋮ Average output entropy for quantum channels ⋮ Potential output purity of completely positive maps

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