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*'''Approximate cloning protocols for discrete quantum systems''' Cloning protocols for [[discrete quantum systems (DV)]] have been included in this section. The simple case of copying a qubit is an example of these cloning machines. The more general case of these quantum cloning machines is N <math>\rightarrow</math> M cloner which will produce M identical copies of N initial states. The discrete quantum cloning machines can be divided into two main categories: universal and non-universal. | *'''Approximate cloning protocols for discrete quantum systems''' Cloning protocols for [[discrete quantum systems (DV)]] have been included in this section. The simple case of copying a qubit is an example of these cloning machines. The more general case of these quantum cloning machines is N <math>\rightarrow</math> M cloner which will produce M identical copies of N initial states. The discrete quantum cloning machines can be divided into two main categories: universal and non-universal. | ||
**'''Universal quantum cloning protocols:''' Universal cloning machines produce copies of any arbitrary states. These protocols produce copies which are approximately close to the original state at every round. Also, a universal cloning machine can be | **'''Universal quantum cloning protocols:''' Universal cloning machines produce copies of any arbitrary states. These protocols produce copies which are approximately close to the original state at every round. Also, a universal cloning machine can be | ||
***Symmetric or | ***[[Symmetric or Optimal Universal N-M Cloning|Optimal Cloning protocols]] | ||
***[[Asymmetric Universal 1-2 Cloning|Asymmetric Cloning protocols]] | ***[[Asymmetric Universal 1-2 Cloning|Asymmetric Cloning protocols]] | ||
**'''Non-universal quantum cloning protocols''' It is possible to have a cloning machine which is not universal and these machines have their own functionalities and advantages. In this category, we have | **'''Non-universal quantum cloning protocols''' It is possible to have a cloning machine which is not universal and these machines have their own functionalities and advantages. In this category, we have |