Improved two-party and multi-party purification protocols

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We present an improved protocol for entanglement purification of bipartite mixed states using several states at a time rather than two at a time as in the traditional recurrence method. We also present a generalization of the hashing method to n-partite cat states, which achieves a finite yield of pure cat states for any desired fidelity. Our results are compared to previous protocols.
10 pages AMS-TeX with eps figures, to be published in the AMS Contemporary Math Series volume entitled "Quantum Computation & Quantum Information Science."

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