A What is the connection between entanglement and the no-cloning theorem?

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Entanglement and the no-cloning theorem are fundamentally linked through the principles of quantum mechanics. Entangled states exhibit correlations that cannot be replicated, which aligns with the no-cloning theorem's assertion that an arbitrary quantum state cannot be duplicated. This connection highlights the unique nature of quantum information, where measurement and state manipulation are constrained by these principles. Understanding this relationship is crucial for advancements in quantum computing and secure communication. The discussion emphasizes the need for context to explore the nuances of these quantum phenomena effectively.
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Hey
I get a question about What is the connection between entanglement and the statement that “a quantum state cannot be cloned”?
I will be happy to get some points so answer about this answer.
Thank you
 
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mister robi said:
Hey
I get a question about What is the connection between entanglement and the statement that “a quantum state cannot be cloned”?
I will be happy to get some points so answer about this answer.
Thank you
Maybe start by telling us WHY you think there is a connection. There are many connections that could be made but knowing the context may lead to a more focused answer.
 
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For the quantum state ##|l,m\rangle= |2,0\rangle## the z-component of angular momentum is zero and ##|L^2|=6 \hbar^2##. According to uncertainty it is impossible to determine the values of ##L_x, L_y, L_z## simultaneously. However, we know that ##L_x## and ## L_y##, like ##L_z##, get the values ##(-2,-1,0,1,2) \hbar##. In other words, for the state ##|2,0\rangle## we have ##\vec{L}=(L_x, L_y,0)## with ##L_x## and ## L_y## one of the values ##(-2,-1,0,1,2) \hbar##. But none of these...

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