Purification via entanglement swapping and conserved entanglement

Abstract

We investigate the purification of entangled states by local actions using a variant of entanglement swapping. We show that there exists a measure of entanglement which is conserved in this type of purification procedure.

4 pages, 2 figures, minor changes, to appear in Phys. Rev. A (tent: July 99)

References in corpus (11)

• Experimental quantum teleportation
• Quantifying Entanglement
• Experimental Realization of Teleporting an Unknown Pure Quantum State via Dual Classical and Einstein-Podolski-Rosen Channels
• Entanglement Measures and Purification Procedures
• A Multiparticle Generalization of Entanglement Swapping
• On Bell measurements for teleportation
• Entanglement in Quantum Information Theory
• Statistical Inference, Distinguishability of Quantum States, And Quantum Entanglement
• Methods for Reliable Teleportation
• Purifying noisy entanglement requires collective measurements
• Entangled Mixed States and Local Purification

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