Proof of Quantum NO Cloning Theorem

 

 

In today's article, I will write the proof that quantum cloning, which is an important feature of quantum mechanics, is not possible.

The Quantum no-cloning theorem tells us that it is not possible to create any quantum state vector with the unitary operator.

To prove this, let's consider a unitary operator machine that creates two state vectors from a state vector.

 

Clone |0>, |1>, and even the most general state vector |ψ> as follows.

 

We see that the 1st and 2nd equations above should be equal to each other, but they are not. This situation shows us that quantum cloning contains mathematical contradictions.

 

 

 

Reference

https://www.youtube.com/watch?v=qUo3zjkNE24&list=PLqNc_xpYGu77u6dI_RijjCLd-nP8p_4pI&index=23

https://physicsworld.com/a/cloning-quantum-steering-is-a-no-go/