When Catalysis is Useful for Probabilistic Entanglement Transformation

Abstract

We determine all $2\times 2$ quantum states that can serve as useful catalysts for a given probabilistic entanglement transformation, in the sense that they can increase the maximal transformation probability. When higher-dimensional catalysts are considered, a sufficient and necessary condition is derived under which a certain probabilistic transformation has useful catalysts.

5 pages, journal version

References in corpus (1)

• The trumping relation and the structure of the bipartite entangled states

Cited by in corpus (9)

• Catalytic Conversion Probabilities for Bipartite Pure States
• Necessary and Sufficient Conditions for the Trumping Relation
• Catalytic coherence transformations
• Catalysis of entanglement and other quantum resources
• Entanglement-assisted transformation is asymptotically equivalent to multiple-copy transformation
• Relation Between Catalyst-assisted Entanglement Transformation and Multiple-copy Transformation
• Conditions for entanglement transformation between a class of multipartite pure states with generalized Schmidt decompositions
• Probabilistic bisimilarities between quantum processes
• Necessary conditions on effective quantum entanglement catalysts