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Entanglement Theory Quantum Correlations

Necessary and Sufficient Conditions for the Trumping Relation

arXiv
Authors: S. Turgut

Year

2007

Paper ID

49771

Status

Preprint

Abstract Read

~2 min

Abstract Words

107

Citations

N/A

Abstract

Entanglement catalysis allows one to convert certain entangled states into others by the temporary involvement of another entangled state (so-called catalyst), where after the conversion the catalyst is returned to the same state. For bipartite pure entangled states that can be transformed in this way with unit probability, the respective Schmidt coefficients are said to satisfy the trumping relation, a mathematical relation which is an extension of the majorization relation. This article provides all necessary and sufficient conditions for the trumping relation in terms of the Schmidt coefficients. The coefficients should satisfy strict inequalities for the entropy of entanglement and for power means excluding the special power 1.

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  • Entanglement catalysis allows one to convert certain entangled states into others by the temporary involvement of another entangled state (so-called catalyst), where after the...

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References & Citation Signals

[1] DOI https://doi.org/arXiv:0707.0444 [2] arXiv https://arxiv.org/abs/0707.0444 [3] Publisher https://arxiv.org/abs/0707.0444

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