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arXiv · 1405.2845

Extending a characterization of majorization to infinite dimensions

Rajesh Pereira·Sarah Plosker
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Abstract

We consider recent work linking majorization and trumping, two partial orders that have proven useful with respect to the entanglement transformation problem in quantum information, with general Dirichlet polynomials, Mellin transforms, and completely monotone sequences. We extend a basic majorization result to the more physically realistic infinite-dimensional setting through the use of generalized Dirichlet series and Riemann-Stieltjes integrals.

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Rajesh Pereira, Sarah Plosker. 2014-05-12. Extending a characterization of majorization to infinite dimensions. https://doi.org/10.1016/j.laa.2014.01.026

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