Decoherence relationship to the measurement problem

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SUMMARY

Decoherence does not resolve the measurement problem in quantum mechanics. It results in a reduced density matrix that is an improper mixture, which cannot be treated as a proper mixture without additional postulates equivalent to wave function collapse. Observations with sufficient specificity are required to identify decoherence, but this does not imply that decoherence leads to a definitive collapse of the quantum state. The discussion references GianCarlo Ghirardi's thought experiment and highlights the distinction between proper and improper mixed states, emphasizing that no experiment can differentiate between them.

PREREQUISITES
  • Understanding of quantum mechanics principles, specifically decoherence.
  • Familiarity with density matrices and the concepts of proper and improper mixed states.
  • Knowledge of the measurement problem in quantum mechanics.
  • Awareness of interpretations of quantum mechanics, including many-worlds and de Broglie-Bohm theory.
NEXT STEPS
  • Study GianCarlo Ghirardi's "Sneaking a Look at God's Cards" for insights on quantum states.
  • Learn about the differences between proper and improper mixed states in quantum mechanics.
  • Explore the many-worlds interpretation and its relationship with decoherence.
  • Investigate David Wallace's "The Emergent Multiverse" for advanced discussions on decoherence and measurement problems.
USEFUL FOR

Quantum physicists, students of quantum mechanics, and researchers exploring the foundations of quantum theory and the measurement problem.

  • #91
Feeble Wonk said:
I've got Susskind's book ordered. Looking forward to it. I'm almost afraid to ask, but how mathematically challenging is it. My skills in that arena are worse than pitiful.

It requires a smattering of calculus.

Thanks
Bill
 

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