Quantum superposition of multiple clones and the novel cloning machine

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 $\mathcal{S}$ 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.

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

References in corpus (2)

• Probabilistic cloning and identification of linearly independent quantum states
• Quantum State Separation, Unambiguous Discrimination and Exact Cloning

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