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arXiv · quant-ph/9903038

Quantum superposition of multiple clones and the novel cloning machine

Arun Kumar Pati
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Abstract

we envisage a novel quantum cloning machine, which takes an input state and produces an output state whose success branch can exist in a linear superposition of multiple copies of the input state and the failure branch exist in a superposition of composite state independent of the input state. We prove that unknown non-orthogonal states chosen from a set $\cal S$ can evolve into a linear superposition of multiple clones by a unitary process if and only if the states are linearly independent. We derive a bound on the success probability of the novel cloning machine. We argue that the deterministic and probabilistic clonings are special cases of our novel cloning machine.

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Arun Kumar Pati. 1999-08-22. Quantum superposition of multiple clones and the novel cloning machine. https://doi.org/10.1103/physrevlett.83.2849

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