Trumping and Power Majorization
David W. Kribs, Rajesh Pereira, and Sarah Plosker

TL;DR
This paper explores the relationship between trumping and power majorization, establishing a Rado's theorem analogue and providing examples to deepen understanding in matrix theory and quantum information.
Contribution
It introduces a novel connection between trumping and power majorization, including a Rado's theorem analogue, advancing theoretical understanding in these areas.
Findings
Established a Rado's theorem analogue for power majorization
Connected trumping relation with power majorization in quantum information
Provided illustrative examples demonstrating the theoretical results
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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Taxonomy
TopicsQuantum Information and Cryptography · Matrix Theory and Algorithms · Quantum Mechanics and Applications
