Quantum measurement problem

Author(s):  
Jeffrey Bub

In classical mechanics a measurement process can be represented, in principle, as an interaction between two systems, a measuring instrument M and a measured system S, during which the classical states of M and S evolve dynamically, according to the equations of motion of the theory, in such a way that the ‘pointer’ or indicator quantity of M becomes correlated with the measured quantity of S. If a similar representation is attempted in quantum mechanics, it can be shown that, for certain initial quantum states of M and S, the interaction will result in a quantum state for the combined system in which neither the pointer quantity of M nor the measured quantity of S has a determinate value. On the orthodox interpretation of the theory, propositions assigning ranges of values to these quantities are neither true nor false. Since we require that the pointer readings of M are determinate after a measurement, and presumably also the values of the correlated S-quantities measured by M, it appears that the orthodox interpretation cannot accommodate the dynamical representation of measurement processes. The problem of how to do so is the quantum measurement problem.

Author(s):  
Richard Healey

If a quantum state completely specified the properties of a system to which it was assigned then application of quantum theory to an interaction intended to correlate properties of a measured system to those of a measuring device would leave that device recording no determinate outcome, contrary to what we observe. This is the quantum measurement problem. But the problem does not arise if the function of a quantum state assignment is not descriptive but prescriptive, so that all quantum state assignments are relational. Models of decoherence can certify the empirical significance of rival claims about which measurement outcome a device records, but their application does not explain but presupposes that exactly one such claim is true. The reality criterion which Einstein and colleagues applied to show the incompleteness of quantum description of reality is inapplicable to their chosen system while a slightly modified criterion is false.


Author(s):  
David Wallace

Decoherence is widely felt to have something to do with the quantum measurement problem, but getting clear on just what is made difficult by the fact that the ‘measurement problem’, as traditionally presented in foundational and philosophical discussions, has become somewhat disconnected from the conceptual problems posed by real physics. This, in turn, is because quantum mechanics as discussed in textbooks and in foundational discussions has become somewhat removed from scientific practice, especially where the analysis of measurement is concerned. This paper has two goals: firstly (§§1–2), to present an account of how quantum measurements are actually dealt with in modern physics (hint: it does not involve a collapse of the wave function) and to state the measurement problem from the perspective of that account; and secondly (§§3–4), to clarify what role decoherence plays in modern measurement theory and what effect it has on the various strategies that have been proposed to solve the measurement problem.


2007 ◽  
Author(s):  
Geoffrey Sewell ◽  
Guillaume Adenier ◽  
Andrei Yu. Khrennikov ◽  
Pekka Lahti ◽  
Vladimir I. Man'ko ◽  
...  

2016 ◽  
Vol 94 (4) ◽  
Author(s):  
Stephon Alexander ◽  
Dhrubo Jyoti ◽  
João Magueijo

2013 ◽  
Vol 525 (1-2) ◽  
pp. A15-A19 ◽  
Author(s):  
Issachar Unna ◽  
Tilman Sauer

Topoi ◽  
1995 ◽  
Vol 14 (1) ◽  
pp. 55-65 ◽  
Author(s):  
Richard Healey

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