Trumping and Power Majorization |
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| Authors: | David W. Kribs Rajesh Pereira |
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| Affiliation: | 1. University of Guelph, Department of Mathematics &2. Statistics, Guelph, ON, N1G 2W1 Canada.;3. University of Waterloo, Institute for Quantum Computing, Waterloo, ON, N2L 3G1 Canada. |
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| Abstract: | Majorization is a basic concept in matrix theory that has found applications in numerous settings over the past century. Power majorization is a more specialized notion that has been studied in the theory of inequalities. On the other hand, the trumping relation has recently been considered in quantum information, specifically in entanglement theory. We explore the connections between trumping and power majorization. We prove an analogue of Rado’s theorem for power majorization and consider a number of examples. |
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| Keywords: | majorization quantum entanglement entanglement-assisted local transformation catalytic majorization trumping power majorization |
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