0607105v2

related topics
{states, state, optimal}
{qubit, qubits, gate}
{state, phys, rev}
{state, states, entangled}
{phase, path, phys}
{alice, bob, state}
{state, algorithm, problem}
{trap, ion, state}
{time, decoherence, evolution}
{cos, sin, state}
{entanglement, phys, rev}

Sequential Quantum Cloning

Y. Delgado, L. Lamata, J. Leon, D. Salgado, E. Solano

abstract: 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.

oai_identifier:
oai:arXiv.org:quant-ph/0607105
categories:
quant-ph
comments:
4 pages, no figures. New version with changes. Accepted in Physical Review Letters
arxiv_id:
quant-ph/0607105
journal_ref:
Phys. Rev. Lett. 98, 150502 (2007).
created:
2006-07-15
updated:
2007-03-08

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