Quantum Cloning: Difference between revisions

*'''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  

**'''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   

*'''Approximate cloning protocols for continous variables''' The cloning of several quantum states such as photonic states which are in the regime of [[continuous variables (CV)]] have been presented in this section. The N <math>\rightarrow</math> M approximate Gaussian cloning protocol is the most important cloning protocol in CV with a wide variety of application in photonic or quantum oscillator systems.

*'''Probabilistic Cloning''' Another way of having an imperfect cloner is to have a probabilistic cloning machine will produce the copies with some probability of success. In these protocols coping task can succeed with probability, but if it is successful, we can always obtain perfect copie. The probabilistic cloning machines will no longer consists of unitary operations only. But these machines are represented by quantum maps instead. This quantum cloning machine is useful, in particular, in studying the B92 quantum key distribution protocol.