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Universal distortion-free entanglement concentration

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arxiv quant-ph/0209030 v1 pith:HKHUWTRM submitted 2002-09-04 quant-ph

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keywords entanglementpureconcentrationentropyprotocolstatestatesunknown
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abstract

Entanglement concentration from many copies of unknown pure states is discussed, and we propose the protocol which not only achieves entropy rate, but also produces the perfect maximally entangled state. Our protocol is induced naturally from symmetry of $n$-tensored pure state, and is optimal for all the protocols which concentrates entanglement from unknown pure states, in the sense of failure probability. In the proof of optimality, the statistical estimation theory plays a key role, for concentrated entanglement gives a natural estimate of the entropy of entanglement.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Universal magic state concentration

    quant-ph 2026-08 accept novelty 7.0 of 10

    One fixed stabilizer protocol distills an exact CCZ state from six copies of any unknown pure non-stabilizer qubit state, with optimal success probability M3^lin(psi)/3.

  2. Robustness of Entanglement Manipulation for almost i.i.d. sources

    quant-ph 2026-06 unverdicted novelty 6.0 of 10

    Robustness theorems establish that asymptotic entanglement manipulation rates for MSR almost i.i.d. sources equal those of their i.i.d. references, with universal protocols for pure states.

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