Entanglement-assisted transformation is asymptotically equivalent to multiple-copy transformation

Abstract

We show that two ways of manipulation of quantum entanglement, namely, entanglement-assisted local transformation [D. Jonathan and M. B. Plenio, Phys. Rev. Lett. {\bf 83}, 3566 (1999)] and multiple-copy transformation [S. Bandyopadhyay, V. Roychowdhury, and U. Sen, Phys. Rev. A {\bf 65}, 052315 (2002)], are equivalent in the sense that they can asymptotically simulate each other's ability to implement a desired transformation from a given source state to another given target state with the same optimal success probability. As a consequence, this yields a feasible method to evaluate the optimal conversion probability of an entanglement-assisted transformation.

5 pages, revtex4, references updated, no figures. A slightly shorter version appears in PRA

References in corpus (13)

• Concentrating Partial Entanglement by Local Operations
• Conditions for a class of entanglement transformations
• Exact and Asymptotic Measures of Multipartite Pure State Entanglement
• Entanglement of pure states for a single copy
• Entanglement-assisted local manipulation of pure quantum states
• The trumping relation and the structure of the bipartite entangled states
• Multiple-copy entanglement transformation and entanglement catalysis
• Catalysis of entanglement manipulation for mixed states
• Catalysis in non--local quantum operations
• A classification of incomparable states
• Catalyst-assisted Probabilistic Entanglement Transformation
• When Catalysis is Useful for Probabilistic Entanglement Transformation
• Trade-off between multiple-copy transformation and entanglement catalysis

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• Relation Between Catalyst-assisted Entanglement Transformation and Multiple-copy Transformation
• No-go theorem for entanglement distillation using catalysis
• Catalytic and asymptotic equivalence for quantum entanglement
• Entanglement - A Queer In The World Of Quantum : Some Perspectives