Unitary Quantum Cloner: Micro-Macro Entanglement & CHSH Inequality

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SUMMARY

The discussion centers on the implications of using a unitary quantum cloner in generating micro-macro entanglement and its effects on the CHSH inequality. It posits that amplifying one of the entangled photons results in a superposition of V and H polarization until measurement, potentially leading to a violation of the CHSH inequality. Furthermore, it explores whether measuring the polarization of one photon before sending its partner into the cloner would yield results similar to a measure & prepare cloner, thus not producing a micro-macro entangled state and avoiding CHSH violation. The speed of macroscopic amplification generated by the unitary quantum cloner is also questioned, with an inquiry into its theoretical limits.

PREREQUISITES
  • Understanding of quantum entanglement principles
  • Familiarity with the CHSH inequality in quantum mechanics
  • Knowledge of unitary operations in quantum computing
  • Basic concepts of photon polarization (V and H polarization)
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  • Research the implications of micro-macro entanglement in quantum mechanics
  • Study the CHSH inequality and its significance in quantum information theory
  • Explore the mechanics of unitary quantum cloners and their applications
  • Investigate the speed limits of quantum operations and amplification processes
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Quantum physicists, researchers in quantum information science, and students studying advanced quantum mechanics concepts will benefit from this discussion.

StevieTNZ
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With a unitary quantum cloner, because it generates micro-macro entanglement, if we amplify one of the entangled photons using the cloner, does that mean that the corresponding macroscopic amplification is in a superposition (a superposition of V and H polarisation) until measurement? Would we see a violation of the CHSH inequality?

Also, if we measure the polarisation of the other photon, then send the partner photon into the unitary quantum cloner, would that produce the same result as a measure & prepare cloner (hence not produce a micro-macro entangled state), and thereby expect no violation of the CHSH inequality?
 
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Perhaps another question - how fast can an unitary quantum cloner generate the macroscopic amplification? Is it in principle, any speed?
 

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