Information cloning of harmonic oscillator coherent states and its fidelity
Abstract
We show that in the case of unknown harmonic oscillator coherent states it is possible to achieve what we call perfect information cloning. By this we mean that it is still possible to make arbitrary number of copies of a state which has exactly the same information content as the original unknown coherent state. By making use of this perfect information cloning it would be possible to estimate the original state through measurements and make arbitrary number of copies of the estimator. We define the notion of a Measurement Fidelity. We show that this information cloning gives rise, in the case of 1 N, to a distribution of measurement fidelities whose average value is 1 2 irrespective of the number of copies originally made. Generalisations of this to the M MN case as well as the measurement fidelities for Gaussian cloners are also given.
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