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Entanglement purification and quantum error correction

REVIEW ARTICLE

W Dür1,2 and H J Briegel1,2

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We give a review on entanglement purification for bipartite and multipartite quantum states, with the main focus on the theoretical work carried out by our group in the last couple of years. We discuss entanglement purification in the context of quantum communication, where we emphasize its close relation to quantum error correction. Various bipartite and multipartite entanglement purification protocols are discussed, and their performance under idealized and realistic conditions is studied. Several applications of entanglement purification in quantum communication and computation are presented, which highlights the fact that entanglement purification is a fundamental tool in quantum information processing.


PACS

03.67.Mn Entanglement measures, witnesses, and other characterizations

03.67.Pp Quantum error correction and other methods for protection against decoherence

03.67.Lx Quantum computation architectures and implementations

03.67.Hk Quantum communication

Subjects

Computational physics

Quantum information and quantum mechanics

Dates

Issue 8 (August 2007)

Received 5 January 2007, in final form 29 May 2007

Published 17 July 2007



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