Sequential Quantum Cloning

Details Sequential Quantum Cloning Sequential Quantum Cloning

2006-07-15

arxiv.org/abs/quant-ph/0607105v2

Phys. Rev. Lett. 98, 150502 (2007).

Physics

Quantum Physics

4 pages, no figures. New version with changes. Accepted in Physical Review Letters

Scientific paper

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.

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