Quantum superposition of multiple clones and the novel cloning machine

Details Quantum superposition of multiple clones and the novel cloning machine Quantum superposition of multiple clones and the novel cloning machine

1999-03-10

arxiv.org/abs/quant-ph/9903038v2

Phys.Rev.Lett.83:2849-2852,1999

Physics

Quantum Physics

Two column, 5 pages, Latex, some additions, minor changes. Phys. Rev. Lett. (To appear, 1999)

Scientific paper

10.1103/PhysRevLett.83.2849

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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