Catalyst-assisted Probabilistic Entanglement Transformation

Abstract

We are concerned with catalyst-assisted probabilistic entanglement transformations. A necessary and sufficient condition is presented under which there exist partial catalysts that can increase the maximal transforming probability of a given entanglement transformation. We also design an algorithm which leads to an efficient method for finding the most economical partial catalysts with minimal dimension. The mathematical structure of catalyst-assisted probabilistic transformation is carefully investigated.

12 pages

References in corpus (2)

• The trumping relation and the structure of the bipartite entangled states
• Multiple-copy entanglement transformation and entanglement catalysis

Cited by in corpus (16)

• Quantum Resource Theories
• Necessary and Sufficient Conditions for the Trumping Relation
• Catalytic Conversion Probabilities for Bipartite Pure States
• Catalytic coherence transformations
• Catalysis of entanglement and other quantum resources
• Catalyst-Assisted Probabilistic Coherence Distillation for Mixed States
• Fundamental limits on anomalous energy flows in correlated quantum systems
• Efficient quantum repeater in perspectives of both entanglement concentration rate and LOCC complexity
• 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
• Catalysis always degrades external quantum correlations
• Quantum catalysis in cavity quantum electrodynamics
• Catalytic transformations for thermal operations
• General entanglement-assisted transformation for bipartite pure quantum states
• Finite-size catalysis in quantum resource theories