How decoherence destroys superpositions

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    Decoherence
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SUMMARY

The discussion centers on the concept of decoherence in quantum mechanics, specifically how it affects superposition and probability distributions. When a quantum particle interacts with its environment, decoherence transforms the superposition of states into a mixed state, eliminating interference effects. The Wigner quasi-probability distribution is referenced, highlighting that while amplitudes can be negative, observable probabilities remain positive. Ultimately, decoherence leads to a classical appearance of probabilities, as the interference terms vanish, allowing for a more classical interpretation of quantum behavior.

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  • Understanding of quantum mechanics principles, particularly superposition and decoherence.
  • Familiarity with the Wigner quasi-probability distribution and its implications in quantum theory.
  • Knowledge of probability amplitudes and their role in quantum state calculations.
  • Basic grasp of the Schrödinger equation and wavefunction collapse interpretations.
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  • Explore the implications of decoherence on quantum computing and information theory.
  • Study the Wigner quasi-probability distribution in detail, including its mathematical formulation.
  • Investigate the different interpretations of quantum mechanics, focusing on wavefunction collapse and entanglement.
  • Learn about the Klein-Gordon equation and its significance in quantum field theory.
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Physicists, quantum mechanics students, and researchers interested in the foundations of quantum theory and the implications of decoherence on quantum systems.

  • #31
bhobba said:
I have and hold to the ignorance ensemble interpretation which basically answers - why do we get any outcomes at all - by somehow.

:wideeyed: and that's how 'textbook' QM answers it too - we get something, somehow. I guess I see decoherence, as applied to measurement theory, as an attempt to resolve the unitary dynamics, non-unitary measurement issue of QM. I've not really seen any interpretation of QM that I'm personally 100% happy with, they all seem to me to have this character of sweeping something under a rug - they just use different rugs.

Perhaps the standard QM advice should be re-written - "just shut up and sweep" o0)
 
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  • #32
That's the best advice you can indeed give in QM 1, but with the hint that observables and states are not abstract operators in Hilbert space but clearly defined descriptions of measurement devices and preparation prescriptions, and these are defined by the experimentalists in the lab or the observers at their telescopes or however you observe the world around us. The only thing you need to describe observations with the formalism is just Born's rule, and you should take it seriously: If an observable is indetermined, it's indetermined, and there are only probabilities known (provided the state is known with sufficient precision). If you measure it you get, by construction of the real-world measurement apparatus by a good experimental physicist or engineer, a well-defined value, and if you repeat the experiment sufficiently often with sufficiently well prepared ensembles you can measure the probability and compare with the prediction from the formalism. The most amazing thing about QT is, how accurate it makes these predictions and how robustly is withstood all attempts to disprove it.
 

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