No-cloning and stimulated emission

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The discussion centers on the relationship between stimulated emission and the no-cloning theorem in quantum mechanics. It explores why stimulated emission, which produces photons that are not perfect clones due to spontaneous emission and other factors, does not allow for superluminal communication. Participants debate the implications of photon polarization and whether it is possible to deduce the state of an input photon based on the output from stimulated emission. The consensus is that the no-cloning theorem prevents the cloning of arbitrary quantum states, and thus, any attempt to use stimulated emission for faster-than-light communication is fundamentally flawed. Ultimately, the conversation highlights the complexities of quantum theory and the limitations imposed by established principles like quantum field theory and special relativity.
  • #31
greypilgrim said:
So one time out of three stimulated emission produces a V photon from an H photon? Does this mean the textbook treatment of stimulated emission is only true in two out of three times?
Yes, that's probably the simplest way to understand why stimulated emission does not allow perfect cloning. In an attempt of cloning there is always some probability for an error, even if a very small one. But imperfect cloning which tollerates an error is, of course, possible.
 
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  • #32
Do we need QFT to prove this? I guess so, since photons are described by QFT.

Interestingly though, the proof of the general no-cloning theorem only uses Hilbert space properties and doesn't need special relativity.
 
  • #33
greypilgrim said:
Do we need QFT to prove this? I guess so, since photons are described by QFT.

I think its more that in QFT particle numbers are not fixed so its required to explain particle creation.

This is actually a deep requirement of combining relativity and QM. See:
https://www.amazon.com/dp/019969933X/?tag=pfamazon01-20

It has a chapter giving the gory mathematical detail - contour integration and all.

Thanks
Bill
 

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