Phys. Rev. Lett. 98, 150502 (2007) [4 pages]Sequential Quantum CloningReceived 2 August 2006; published 13 April 2007 Not 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. © 2007 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.98.150502
DOI:
10.1103/PhysRevLett.98.150502
PACS:
03.67.Mn, 03.67.Dd
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