No-cloning and stimulated emission

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SUMMARY

The discussion centers on the relationship between stimulated emission and the no-cloning theorem in quantum mechanics. Participants debate whether stimulated emission can produce identical photons without violating the no-cloning theorem, which states that arbitrary quantum states cannot be cloned. Key points include the role of spontaneous emission in creating imperfect copies and the implications for superluminal communication. The consensus is that stimulated emission does not allow for cloning of arbitrary states due to the inherent limitations imposed by quantum field theory (QFT) and the nature of photon polarization.

PREREQUISITES
  • Understanding of the no-cloning theorem in quantum mechanics
  • Familiarity with stimulated emission and its role in quantum optics
  • Basic knowledge of quantum field theory (QFT)
  • Concept of photon polarization and its implications in quantum communication
NEXT STEPS
  • Study the implications of the no-cloning theorem on quantum communication protocols
  • Explore the mechanics of stimulated emission in laser physics
  • Investigate the role of spontaneous emission in quantum state fidelity
  • Learn about quantum entanglement and its applications in quantum key distribution (QKD)
USEFUL FOR

Quantum physicists, optical engineers, and researchers in quantum information science who are exploring the limitations and capabilities of quantum communication systems.

  • #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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