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- W2032917845 abstract "In this work, we revisit the problem of finding an admissible region of fidelities obtained after the application of an arbitrary $1ensuremath{rightarrow}N$ universal quantum cloner which has been recently solved in A. Kay et al. [Quant. Inf. Comput 13, 880 (2013)] from the side of cloning machines. Using group-theory formalism, we show that the allowed region for fidelities can be alternatively expressed in terms of overlaps of pure states with recently found irreducible representations of the commutant $Uensuremath{bigotimes}Uensuremath{bigotimes}ensuremath{cdots}ensuremath{bigotimes}Uensuremath{bigotimes}{U}^{*}$, which gives the characterization of the allowed region where states being cloned are a figure of merit. Additionally, it is sufficient to take pure states with real coefficients only, which makes calculations simpler. To obtain the allowed region, we make a convex hull of possible ranges of fidelities related to a given irrep. Subsequently, two cases, $1ensuremath{rightarrow}2$ and $1ensuremath{rightarrow}3$ cloners, are studied for different dimensions of states as illustrative examples." @default.
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- W2032917845 date "2014-05-22" @default.
- W2032917845 modified "2023-09-26" @default.
- W2032917845 title "Group-representation approach to1→Nuniversal quantum cloning machines" @default.
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- W2032917845 doi "https://doi.org/10.1103/physreva.89.052322" @default.
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