High-fidelity copies from a symmetric 1 to 2 quantum cloning machine

preprint2010arXivOpen access

Abstract

A symmetric 1 to 2 quantum cloning machine (QCM) is presented that provides high-fidelity copies with 0.90≤F≤0.950.90 \le F \le 0.95 for all pure (single-qubit) input states from a given meridian of the Bloch sphere. \cor{Emphasize is placed especially on the states of the (so-called) Eastern meridian, that includes the computational basis states $\ketm{0}, \ketm{1}$ together with the diagonal state $\ketm{+} = \frac{1}{\sqrt{2}} (\ketm{0} + \ketm{1})$, for which suggested cloning transformation is shown to be optimal.} In addition, we also show how this QCM can be utilized for eavesdropping in Bennett's B92 protocol for quantum key distribution with a substantial higher success rate than obtained for universal or equatorial quantum copying.

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