A geometrical description of the universal $1 \to 2$ asymmetric quantum cloning region

Cl\'ement Pellegrini; Denis Rochette; Ion Nechita

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arxiv 2106.09655 v1 pith:XHGIBFMM submitted 2021-06-17 quant-ph

A geometrical description of the universal 1 to 2 asymmetric quantum cloning region

Ion Nechita , Cl\'ement Pellegrini , Denis Rochette This is my paper

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keywords regioncloningquantumasymmetricsingletuniversalachievablecharacterize

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We consider the problem of determining the achievable region of parameters for universal $1 \to 2$ asymmetric quantum cloning. Measuring the cloning performance with the figure of merit of singlet fraction, we show that the physical region is a union of ellipses in the plane. Equivalently, we characterize the parameter region of quantum state compatibility of two possibly different isotropic states, considering, for the first time, negative singlet fractions.

A geometrical description of the universal 1 to 2 asymmetric quantum cloning region

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