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Universal and original-preserving quantum copying is impossible. (English) Zbl 0994.81023

Summary: We show that an arbitrary quantum state cannot be universally \(1\rightarrow 2\) copied keeping the original copy unchanged. Indeed, the density operator of the additional copy after the copying transformation is nothing but the scale product of the identity matrix with factor 1/2, which involves no information of the original state.

MSC:

81P68 Quantum computation
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