Abstract
No cloning theorem is a very fundamental issue in quantum mechanics. But the issue is much more involved if we consider quantum state shared among two or more than two parties and allow only local operation and classical communication. In the context of the fact that no known bipartite entangled state can be cloned by local operation and classical communication (LOCC) without assistance of extra entangled state, the cloning of unknown orthogonal entangled state becomes meaningful when there is some supply of free entanglement. With restriction on supply of free entanglement, various cases have been studied. In this paper, we try to give an overview of the subject and results that have been obtained across the literature along with a new result on probabilistic LOCC cloning of four Bell states.
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Kar, G., Rahaman, R. Local cloning of multipartite entangled states. Quantum Inf Process 11, 711–727 (2012). https://doi.org/10.1007/s11128-011-0281-7
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DOI: https://doi.org/10.1007/s11128-011-0281-7