Extremal quantum cloning machines

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dc.creatorChiribella, G.
dc.creatorD'Ariano, G. M.
dc.creatorPerinotti, P.
dc.creatorCerf, N. J.
dc.date2005-07-14
dc.date2005-08-25
dc.date.accessioned2026-07-07T07:52:56Z
dc.date.available2026-07-07T07:52:56Z
dc.descriptionWe investigate the problem of cloning a set of states that is invariant under the action of an irreducible group representation. We then characterize the cloners that are "extremal" in the convex set of group covariant cloning machines, among which one can restrict the search for optimal cloners. For a set of states that is invariant under the discrete Weyl-Heisenberg group, we show that all extremal cloners can be unitarily realized using the so-called "double-Bell states", whence providing a general proof of the popular ansatz used in the literature for finding optimal cloners in a variety of settings. Our result can also be generalized to continuous-variable optimal cloning in infinite dimensions, where the covariance group is the customary Weyl-Heisenberg group of displacements.
dc.descriptionrevised version accepted for publication
dc.identifierhttps://arxiv.org/abs/quant-ph/0507130
dc.identifierhttp://arxiv.org/abs/quant-ph/0507130
dc.identifierPhys. Rev. A 72 042336 (2005)
dc.identifierdoi:10.1103/PhysRevA.72.042336
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/126066
dc.subjectQuantum Physics
dc.titleExtremal quantum cloning machines
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