Eigenvalue and entropy statistics for products of conjugate random quantum channels

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Title: Eigenvalue and entropy statistics for products of conjugate random quantum channels
Authors: Nechita, Ion
Collins, Benoît
Date: 2010-08-30T13:55:28Z
Abstract: Using the graphical calculus and integration techniques introduced by the authors, we study the statistical properties of outputs of products of random quantum channels for entangled inputs. In particular, we revisit and generalize models of relevance for the recent counterexamples to the minimum output entropy additivity problems. Our main result is a classification of regimes for which the von Neumann entropy is lower on average than the elementary bounds that can be obtained with linear algebra techniques.
URL: http://hdl.handle.net/10393/19588
DOI: 10.3390/e12061612
CollectionMathématiques et statistiques // Mathematics and Statistics
Publications en libre accès financées par uOttawa // uOttawa financed open access publications
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