Generalised Asymmetric Quantum Cloning

Abstract

We study machines that take N identical replicas of a pure qudit state as input and output a set of MA clones of a given fidelity and another set of MB clones of another fidelity. The trade-off between these two fidelities is investigated, and numerous examples of optimal N -> MA+MB cloning machines are exhibited using a generic method. A generalisation to more than two sets of clones is also discussed. Finally, an optical implementation of some such machines is proposed. This paper is an extended version of [xxx.arxiv.org/abs/quant-ph/0411179].

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