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Usefulness of classical communication for local cloning of entangled states

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arxiv quant-ph/0502103 v2 pith:GHZYZOZ7 submitted 2005-02-16 quant-ph

Usefulness of classical communication for local cloning of entangled states

classification quant-ph
keywords cloningentangledlocalstatesclassicalcommunicationentanglementfidelity
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We solve the problem of the optimal cloning of pure entangled two-qubit states with a fixed degree of entanglement using local operations and classical communication. We show, that amazingly, classical communication between the parties can improve the fidelity of local cloning if and only if the initial entanglement is higher than a certain critical value. It is completely useless for weakly entangled states. We also show that bound entangled states with positive partial transpose are not useful as a resource to improve the best local cloning fidelity.

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