Information cloning of harmonic oscillator coherent states and its fidelity

Details Information cloning of harmonic oscillator coherent states and its fidelity Information cloning of harmonic oscillator coherent states and its fidelity

2002-02-04

arxiv.org/abs/quant-ph/0202020v1

Physics

Quantum Physics

4 pages(Two column), Revtex

Scientific paper

We show that in the case of unknown {\em harmonic oscillator coherent states} it is possible to achieve what we call {\it perfect information cloning}. By this we mean that it is still possible to make arbitrary number of copies of a state which has {\it exactly} the same information content as the original unknown coherent state. By making use of this {\it 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 {\em Measurement Fidelity}. We show that this information cloning gives rise, in the case of $1\to N$, to a {\em distribution} of {\em measurement fidelities} whose average value is ${1\over 2}$ irrespective of the number of copies originally made. Generalisations of this to the $M\to MN$ case as well as the measurement fidelities for Gaussian cloners are also given.

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