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Why doesn't W. Zurek's quantum Darwinism violate the no-cloning a quantum theorem?

"The basis of almost any theoretical quantum-to-classical transition lies in the concept of decoherence. In the quantum world, many possible quantum states “collapse” into a single state due to interactions with the environment. To quantum Darwinists, decoherence is a selection process, and the final, stable state is called a “pointer state.” Although pointer states are quantum states, they are “fit enough” to be transmitted through the environment without collapsing and can then make copies of themselves that can be observed on the macroscopic scale. Although everything in our world is quantum at its core, our classical view of the universe is ultimately determined by these pointer states." Physics Org

Is this the answer? i.e. "pointer states" must be pairwise orthogonal for a "good measurement".

Non-clonability can be seen as a property of arbitrary sets of quantum states. If we know that a system's state is one of the states in some set S, but we do not know which one, can we prepare another system in the same state? If the elements of S are pairwise orthogonal, the answer is always yes: for any such set there exists a measurement which will ascertain the exact state of the system without disturbing it, and once we know the state we can prepare another system in the same state. If S contains two elements that are not pairwise orthogonal (in particular, the set of all quantum states includes such pairs) then an argument like that given above shows that the answer is no.

http://en.wikipedia.org/wiki/No-cloning_theorem

Category: MyBlog

Written by Jack Sarfatti

Published on Monday, 10 May 2010 23:51

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