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Multiple-copy entanglement transformation and entanglement catalysis Runyao Duan,* Yuan Feng,
 

Summary: Multiple-copy entanglement transformation and entanglement catalysis
Runyao Duan,* Yuan Feng,
Xin Li,
and Mingsheng Ying§
State Key Laboratory of Intelligent Technology and Systems, Department of Computer Science and Technology,
Tsinghua University, Beijing 100084, China
Received 26 April 2004; published 12 April 2005
We prove that any multiple-copy entanglement transformation S. Bandyopadhyay, V. Roychowdhury, and
U. Sen, Phys. Rev. A 65, 052315 2002 can be implemented by a suitable entanglement-assisted local
transformation D. Jonathan and M. B. Plenio, Phys. Rev. Lett. 83, 3566 1999 . Furthermore, we show that
the combination of multiple-copy entanglement transformation and the entanglement-assisted one is still
equivalent to the pure entanglement-assisted one. The mathematical structure of multiple-copy entanglement
transformations then is carefully investigated. Many interesting properties of multiple-copy entanglement
transformations are presented, which exactly coincide with those satisfied by the entanglement-assisted ones.
Most interestingly, we show that an arbitrarily large number of copies of state should be considered in
multiple-copy entanglement transformations.
DOI: 10.1103/PhysRevA.71.042319 PACS number s : 03.67.Mn, 03.65.Ud
I. INTRODUCTION
Quantum entanglement acts as a crucial role in the appli-
cations of quantum information processing, such as quantum

  

Source: Anderson, Richard - Department of Computer Science and Engineering, University of Washington at Seattle

 

Collections: Computer Technologies and Information Sciences