Quantum eraser in Bohmian Mechanics and many worlds theory

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Discussion Overview

The discussion centers on the interpretation of quantum eraser experiments within the frameworks of de Broglie–Bohm theory and the many-worlds interpretation of quantum mechanics. Participants explore how these interpretations handle the concept of erasure of which-way information, contrasting them with the Copenhagen interpretation.

Discussion Character

  • Exploratory
  • Debate/contested
  • Technical explanation

Main Points Raised

  • One participant notes that existing literature on quantum eraser experiments primarily relies on the Copenhagen interpretation and questions how these experiments are viewed in the context of de Broglie–Bohm theory.
  • Another participant suggests that quantum erasure can be seen as undoing a wave function collapse, but in interpretations without collapse, such as Bohmian and Many-Worlds, there is no collapse to undo.
  • A different viewpoint emphasizes that quantum erasure does not involve undoing anything but rather selecting different partial ensembles based on the measurement protocol and Bell correlations of entangled states.
  • There is a reiteration of the initial questions about the nature of which-way information in Bohmian mechanics and whether erasure affects the splitting of the universe in the many-worlds interpretation.
  • A reference to a specific paper is provided for further reading on the topic.

Areas of Agreement / Disagreement

Participants express differing views on the implications of quantum erasure in various interpretations, indicating that multiple competing perspectives remain without a consensus on the matter.

Contextual Notes

The discussion highlights potential limitations in understanding how which-way information is treated across different interpretations and the implications of measurement protocols, but does not resolve these complexities.

boxfullofvacuumtubes
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All the literature on the quantum eraser that I've seen is grounded in the Copenhagen interpretation of quantum mechanics. It's very easy to understand the experiment in those terms.

Do you know how quantum eraser experiments are interpreted by the de Broglie–Bohm theory? What is erased in this case? Is the whichway information simply attached to the pilot wave instead of the particle?

And what about the Everettian many worlds interpretation? Does erasure of whichway information somehow undo the previous splitting of the universe?

Could you recommend any papers to learn more?
 
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Quantum erasure amounts to undoing a wave function collapse due to measurement. In interpretations that don't have collapse, there is nothing to undo. So Bohmian and Many-Worlds interpretations don't have any problems with these experiments, as far as I can see.
 
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You don't undo anything. You just choose different partial ensembles using the fixed measurement protocol, using the Bell correlations of entangled states. Of course, Bohm nor many worlds have problems with this since both are interpretations of QT equivalent to the minimal interpretation (for non-relativistic QT, where an unambiguous Bohmian interpretation exists).
 
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boxfullofvacuumtubes said:
All the literature on the quantum eraser that I've seen is grounded in the Copenhagen interpretation of quantum mechanics. It's very easy to understand the experiment in those terms.

Do you know how quantum eraser experiments are interpreted by the de Broglie–Bohm theory? What is erased in this case? Is the whichway information simply attached to the pilot wave instead of the particle?

And what about the Everettian many worlds interpretation? Does erasure of whichway information somehow undo the previous splitting of the universe?

Could you recommend any papers to learn more?
See https://lanl.arxiv.org/abs/1703.08341 Sec. 5.1.
 
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