Quantum cloning and disentanglement

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SUMMARY

The discussion centers on the challenges of approximate quantum cloning and the implications of entanglement in quantum states. Nordin inquires about the feasibility of disentangling states after using a Wootters-Zurek copying machine to clone an input state represented as a superposition, |s> = a|0> + b|1>. The consensus is that due to the no-cloning theorem, exact cloning is impossible, and while approximate cloning can be performed, disentangling the resulting states poses significant challenges. Reference to the paper by Wootters and Zurek provides further insights into the theoretical framework.

PREREQUISITES
  • Understanding of quantum states and superposition
  • Familiarity with the no-cloning theorem in quantum mechanics
  • Knowledge of approximate quantum cloning techniques
  • Basic concepts of quantum entanglement
NEXT STEPS
  • Study the Wootters-Zurek cloning machine and its operational principles
  • Research the implications of the no-cloning theorem on quantum information theory
  • Explore methods for disentangling quantum states post-cloning
  • Read the paper referenced: "Approximate Quantum Cloning" by Wootters and Zurek
USEFUL FOR

Quantum physicists, researchers in quantum information science, and students studying quantum mechanics who are interested in the complexities of quantum cloning and entanglement.

nordinz
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Hi,

I have a question with regard to the outcome of approximate quantum cloning:

For a general input state, it will always be entangled, right?
Let s = a|0> + b|1>

Then using say a Wootters-Zurek copying machine, we have:
|s>|Q> -> a|0>|0>|Q_0> + b|1>|1>|Q_1>

I need to perform some operations and measurements on the clones, but I need the states to be disentangled.
Is this possible? Any advice on how it should be done?

Thanks.
Nordin
 
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It's not even possible to clone due to the no-cloning theorem.
 

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