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Sequential Quantum Cloning

AuthorsDelgado, Y.; Lamata, Lucas ; León, Juan ; Salgado, D.; Solano, E.
Keywords[PACS] Quantum entanglement production, characterization, and manipulation
[PACS] Quantum cryptography
Issue Date13-Apr-2007
PublisherAmerican Physical Society
CitationPhysical Review Letters 98(15): 150502 (2007)
AbstractNot all unitary operations upon a set of qubits can be implemented by sequential interactions between each qubit and an ancillary system. We analyze the specific case of sequential quantum cloning, 1 -> M, and prove that the minimal dimension D of the ancilla grows linearly with the number of clones M. In particular, we obtain D=2M for symmetric universal quantum cloning and D=M+1 for symmetric phase-covariant cloning. Furthermore, we provide a recipe for the required ancilla-qubit interactions in each step of the sequential procedure for both cases.
Description4 pages, 1 table.-- PACS nrs.: 03.67.Mn; 03.67.Dd.-- ArXiv pre-print available at: http://arxiv.org/abs/quant-ph/0607105
Publisher version (URL)http://dx.doi.org/10.1103/PhysRevLett.98.150502
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