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

Runyao Duan·Yuan feng·Mingsheng Ying
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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.

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Runyao Duan, Yuan feng, Mingsheng Ying. 2005-08-31. Entanglement-assisted transformation is asymptotically equivalent to multiple-copy transformation. https://doi.org/10.1103/physreva.72.024306

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