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Does Decoherence Solve the Measurement Problem Completely

  1. Nov 21, 2012 #1
    As the Title describes, Is the measuremet problem completely solved by the decoherence Program?

    In specific I would like the following question addressed.

    Is there is clear explanation as to what it means to Record Infromation?
    Can it explain the behaviour of a photographic plate?
    What happens to the appratus after measurement?
     
  2. jcsd
  3. Nov 21, 2012 #2
    Some believe it solves it, others say it works only for all practical purposes (i.e. technically the state of the system+apparatus+enivornment is in superposition).

    Roland Omnes is a proponent of the decoherence approach, not just as a practise of solving the measurement problem, but also in principle. See "The Interpretation of Quantum Mechanics" pages 304-309.
     
  4. Nov 22, 2012 #3
    I think this link argues quite nicely why decoherence does not solve the philosophical issues:
    http://plato.stanford.edu/entries/qm-decoherence/#SolMeaPro
    Money quote:
    See also here
    http://arxiv.org/abs/quant-ph/0312059
     
  5. Nov 22, 2012 #4
    It's even hard to argue that decoherence solves any aspect of the measurement problem. All the measurement related features are implicitly imported through the backdoor by using the measurement postulate to define density operators. Any argument for decoherence giving insight into measurement is therefore circular.
     
  6. Nov 23, 2012 #5

    bhobba

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    Exactly.

    You will find a good discussion of the issue in Schlosshauers book on decoherence:
    https://www.amazon.com/Decoherence-Classical-Transition-Frontiers-Collection/dp/3540357734

    The measurement problem has a number of parts. There is the preferred basis problem ie why a particular basis is singled out. It solves that. Then there is the issue of why a particular outcome occurs and indeed why any outcome occurs at all. It doesn't solve that in a fundamental way but does for all practical purposes meaning you can assume it does, that the outcome exists prior to observation, and no experiment can say you are wrong. If that is satisfactory depends purely on your interpretation.

    Yes decoherence incorporates the Born rule and assumes it but refines it so some of its 'weirder' features are no longer an issue eg you can assume the system is in the state prior to observation which you cant do without decoherence - the reasoning is not circular. Interpretations that include decoherence such as decoherent histories call probabilities calculated without reference to an actual observational apparatus pre-probabilities - they are not manifest until decoherence occurs in an apparatus.

    Is there is clear explanation as to what it means to Record Infromation?
    Depends on what you accept as clear. If you mean it explains the why of a particular outcome then no.

    Can it explain the behaviour of a photographic plate?
    Depends on what you accept as explain - for all practical purposes it does but if you want more than that - sorry - you are out of luck.

    What happens to the appratus after measurement?
    Nothing - the observation selected an outcome - that's it - that's all.

    Thanks
    Bill
     
    Last edited by a moderator: May 6, 2017
  7. Nov 24, 2012 #6
    I'm not sure how familiar anyone is with the specifics of this approach but in the paper below Zurek goes to great lengths to derive the Born rule without any use of density operators and related concepts in order to avoid the circularity mentioned above:

    Probabilities from Entanglement, Born's Rule from Envariance (Zurek, 2005)

    I'm really not equipped to analyze the subtleties involved with his approach but when I read through it the following caught my eye (p.19):
    Could someone accuse him of an act of "smuggling" here?

    Also, as far as decoherence in general I quite enjoyed working my way through this:
    Decoherence, the measurement problem, and interpretations of quantum mechanics (Schlosshauer, 2004)

    David Wallace has written on this topic extensively, I believe.
     
  8. Nov 25, 2012 #7
    Zurek doesn't really argue in the context of decoherence, and he postulates additional structure that allows him to derive the Born rule from something that is pretty close to the Born rule already.

    David Wallace' own arguments are mostly focused on decision theory based approaches to deriving the Born rule in an Everett context. This is also not decoherence and it also requires additional postulates.
     
  9. Nov 25, 2012 #8
    I'm pretty sure that he's talking about the work Wallace has done on explaining the emergence of worlds and preferred basis through decoherence. Like in his FAPP paper (http://arxiv.org/abs/1111.2189)
     
  10. Nov 25, 2012 #9
    This is Everett, which of course makes use of decoherence. The OP was asking about just decoherence however, which is a different thing than MWI.
     
  11. Nov 25, 2012 #10
    Well the claim of Wallace is that Everett really just is the QM formalism + decoherence
     
  12. Nov 25, 2012 #11
    Yes, but it's still not what people mean when they say decoherence. Decoherence on its own is agnostic of the concept of worlds.
     
  13. Nov 25, 2012 #12
    I found this piece by Leifer disussing decoherence useful:
    What can decoherence do for us?
    http://mattleifer.info/2007/01/24/what-can-decoherence-do-for-us/
     
  14. Nov 25, 2012 #13
  15. Nov 25, 2012 #14

    Sure, but I think the more interesting debate is whether decoherence can give us a preferred basis and emerge a classical world.
    According to a recent paper by Jan Scwhindt which was briefly discussed here, it cannot.

    There is yet another paper that was released recently by a physicist named Oleg Lychkovskiy: http://arxiv.org/abs/1210.4124
    I don't grasp this paper though, but you might.
     
  16. Nov 25, 2012 #15
    I don't get that from the 2010 quote. Here is what he writes in the 2007 blog:
    And this is what he wrote in his 2010 post:
    So, unless I'm misunderstanding Leifer is still arguing that decoherence, by itself, cannot solve the measurement problem.
     
  17. Nov 25, 2012 #16

    bhobba

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    It doesn't - what it allows is for a minimalist interpretation like decoherent histories that does.

    Thanks
    Bill
     
  18. Nov 25, 2012 #17
    I think the important part is where he says:

    " Perhaps the best worked out example is in the Everett interpretation where you can look at the long papers by David Wallace to find out how decoherence leads to emergence in that case. There is no new maths in these papers, but it provides the necessary philosophical support that you are looking for in that case. "
     
  19. Nov 26, 2012 #18

    tom.stoer

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    One must still distinguish between the physical process of decoherence (selection of preferred pointer basis, effective diagonalization of the density matrix ρ' of the subsystem S') and its interpretation. What decoherence does is that it transforms the quantum probabilities into effective classical ones; but it does not tell us which particular result encoded in the diagonal matrix ρ' will be realized in one specific experiment. In terms of Schrödinger's cat: it explains the absence of coherent superpositions, but for one single cat in one single experiment it does not tell whether this specific cat will be dead or alive after opening the box.
     
  20. Nov 26, 2012 #19
    Sure, but Occam Razor says "both" if there is no preferred basis problem. (ignoring the Born Rule problem at the moment)
     
  21. Nov 26, 2012 #20

    tom.stoer

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    What do you mean by "both"? Both dead and alive?
     
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