Abstract
We analyze the quantum mechanical measuring process from the standpoint of information theory. Statistical inference is used in order to define the most likely state of the measured system that is compatible with the readings of the measuring instrument and the a priori information about the correlations between the system and the instrument. This approach has the advantage that no reference to the time evolution of the combined system need be made. It must, however, be emphasized that the result is to be interpreted as the statistically inferred state of the original system rather than the state of the system after measurement. The phenomenon of “reduction of states” appears in this light as a consequence of incomplete information rather than the physical interaction between measured system and measuring instrument.
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References
J.-P. Marchand,Found. Phys. 7, 35 (1977).
J. M. Jauch,Foundations of Quantum Mechanics (Addison-Wesley, 1968), Chapter 11.9.
H. Spohn,Int. J. Theor. Phys. 15, 365 (1976).
J. M. Jauch, E. P. Wigner, and M. M. Yanase,Nuovo Cim. 48B, 144 (1967).
M. Takesaki,Tomita's Theory of Modular Hilbert Algebras (Springer Lecture Notes in Math., No. 128, 1970), p. 104.
J.-P. Marchand and W. Wyss,J. Stat. Phys. 16, 391 (1977).
J. von Neumann,Mathematical Foundations of Quantum Mechanics (Princeton University Press, 1955), p. 379.
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Benoist, R.W., Marchand, JP. & Yourgrau, W. Statistical inference and quantum mechanical measurement. Found Phys 7, 827–833 (1977). https://doi.org/10.1007/BF00708508
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DOI: https://doi.org/10.1007/BF00708508