Abstract
General results about restrictions on measurements from inside are applied to quantum mechanics. They imply subjective decoherence: For an apparatus it is not possible to determine whether the joint system consisting of itself and the observed system is in a statistical state with or without interference terms; it is possible that the apparatus systematically mistakes the real pure state of the joint system for the decohered state. We discuss the relevance of subjective decoherence for quantum measurements and for the problem of Wigner's friend.
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References
Albert, D. Z.: 1983, ‘On Quantum-mechanical Automata’, Physics Letters A 98, 246.
Albert, D. Z.: 1987, ‘A Quantum Mechanical Automaton’, Philosophy of Science 57, 577.
Bohm, D.: 1951, Quantum Theory, Englewood Cliffs: Prentice Hall.
Bratteli, O. and D. W. Robinson: 1979, Operator Algebras and Quantum Statistical Mechanics, Vol. II, Second Edition 1987.
Breuer, T.: 1995, ‘The Impossibility of Exact State Self-Measurements’, Philosophy of Science 62(2), 197–214.
Brown, H.: 1986, ‘The Insolubility Proof of the Quantum Measurement Problem’, Foundations of Physics 16, 857.
Busch, P., P. Lahti, and P. Mittelstaedt: 1992, Quantum Theory of Measurement, Springer, Berlin.
Dalla Chiara, M. L.: 1977. ‘Logical Self-reference, Set Theoretical Paradoxes and the Measurement Problem’, Journal of Philosophical Logic 6, 331–48.
de Espagnat, B.: 1966, ‘Two Remarks of the Theory of Measurement’, Nuovo Cimento Suppl. 4, 828–38
Dieks, D.: 1989, ‘Resolution of the Measurement Problem through Decoherence or the Quantum State’, Physics Letters A 142, 439–46.
Earman, J. and A. Shimony: 1968, ‘A Note on Measurement’, Nuovo Cimento B 54, 332–4.
Einstein, A., B. Podolsky, and N. Rosen: 1935, ‘Can Quantum-mechanical Description of Physical Reality be Considered Complete?’, Physical Review 47, 777.
Everett, H. III: 1957, ‘“Relative State” Formulation of Quantum Mechanics’, Reviews in Modern Physics 29, 454–462
Fehrs, M. H. and A. Shimony: 1974, ‘Approximate Measurement in Quantum Mechanics I’, Physical Review D 9, 2317–20. Reprinted in Shimony: 1993, 34–41.
Fine, A.: 1970, ‘Insolubility of the Quantum Measurement Problem’, Physical Review D 2, 2783–7.
Finkelstein, D.: 1988, ‘Finite Physics’, in R. Herken (ed.), The Universal Turing Machine. A Half-Century Survey, University Press, Oxford.
Gell-Mann, M. and J. Hartle: 1988, ‘Quantum Mechanics in the Light of Quantum Cosmology’, in W. H. Zurek (ed.), Complexity, Entropy, and the Physics of Information, SFI Studies in the Science of Complexity, vol. VIII, Addison-Wesley.
Hannabus, K.: 1984, Helvetica Physica Acta 57, 610–20.
Komar, A.: 1962, ‘Intermediate Character of the Reduction of the Wave Packet in Quantum Theory’, Physical Review 126, 365–369.
London, F. and E. Bauer: 1939, La Théorie de l'Observation en Mécanique Quantique, Hermann, Paris.
Mittelstaedt, P.: 1993, ‘Measurement Induced Interrelations between Quantum Theory and its Interpretation’, in P. Busch, P. Mittelstaedt and P. Lahti (eds.), Proceedings of the Symposium on the Foundations of Modern Physics 1993, World Scientific, Singapore.
Penrose, R.: 1989, The Emperor's New Mind, University Press, Oxford.
Peres, A. and W. H. Zurek: 1982, ‘Is Quantum Mechanics Universally Valid?’, American Journal of Physics 50(9), 807.
Primas, H.: 1990, ‘Mathematical and Philosophical Questions in the Theory of Open Quantum-Systems’, in A. I. Miller (ed.), Sixty-two Years of Uncertainty: Historical, Philosophical and Physics Inquiries into the Foundations of Quantum Mechanics, Plenum, New York.
Roessler, O. E.: 1987, ‘Endophysics’, in J. L. Casti and A. Karlqvist (eds.), Real Brains — Artificial Minds, North-Holland, New York.
Rothstein: J.: 1952, Abstract of ‘A Phenomenological Uncertainty Principle’, Physical Review 86, 640, cited after Rothstein (1964).
Rothstein, J.: 1964, ‘Thermodynamics and Some Undecidable Physical Questions’, Philosophy of Science 31, 40–8.
Schlieder, S.: 1968, ‘Einige Bemerkungen zur Zustandsänderung von relativistischen quantenmechanischen Systmen durch Messungen und zur Lokalitätsforderung’, Communications in Mathematical Physics 7, 305–31.
Schmidt, E.: 1908, ‘Zur Theorie der linearen und nichtlinearen Integralgleichungen’, Mathematische Annalen 63, 433–76, and 64, 161–74.
Shimony, A.: 1974, ‘Approximate Measurement in Quantum Mechanics, Part II’, Physical Review D 9, 2321–23. Reprinted in Shimony (1993), 41–47
Shimony, A.: 1993, Search for a Naturalistic World View, Vol. II, University Press, Cambridge.
Süssmann, G.: 1957, ‘An Analysis of Measurement’, in S. Körner (ed.), Observation and Interpretation, Butterworth, London (reprinted Dover, New York (1962)), pp. 131–6.
Svozil, K.: 1993, Randomness and Undecidability in Physics, World Scientific, Singapore.
von Neumann, J.: 1932, Mathematische Grundlagen der Quantenmechanik, Springer, Berlin.
Von Weizsäcker: 1941, ‘Zur Deutung der Quantenmechanik’, Zeitschrift für Physik 118, 489–509.
Wigner E. P.: 1962, ‘Remarks on the Mind-Body Question’, in I. J. Good (ed.), The Scientist Speculates, Heinemann, London, pp. 284–302.
Wigner, E. P.: 1963, ‘The Problem of Measurement’, American Journal of Physics 31, 6–15.
Zeh, H. D.: 1970, ‘On the Interpretation of Measurement in Quantum Theory’, Foundations of Physics 1, 69.
Zeh, H. D.: 1986, ‘Emergence of Classical Time from a Universal Wave Function’, Physical Letters A 116, 9.
Zurek, W. K.: 1982, ‘Environment-Induced Super Selection Rules’, Physical Review D 26, 1862–80.
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Breuer, T. Subjective decoherence in quantum measurements. Synthese 107, 1–17 (1996). https://doi.org/10.1007/BF00413900
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DOI: https://doi.org/10.1007/BF00413900